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486099040 = 25571953431
BaseRepresentation
bin11100111110010…
…100100001100000
31020212200101112011
4130332110201200
51443420132130
6120122442304
715021526240
oct3476244140
91225611464
10486099040
1122a432449
12116963394
1379928a8b
14487b7b20
152ca1e52a
hex1cf94860

486099040 has 192 divisors, whose sum is σ = 1410877440. Its totient is φ = 154552320.

The previous prime is 486098999. The next prime is 486099041. The reversal of 486099040 is 40990684.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 486098984 and 486099002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486099041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1127625 + ... + 1128055.

It is an arithmetic number, because the mean of its divisors is an integer number (7348320).

Almost surely, 2486099040 is an apocalyptic number.

486099040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486099040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705438720).

486099040 is an abundant number, since it is smaller than the sum of its proper divisors (924778400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

486099040 is a wasteful number, since it uses less digits than its factorization.

486099040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 486099040 is about 22047.6538434365. The cubic root of 486099040 is about 786.2758216779.

The spelling of 486099040 in words is "four hundred eighty-six million, ninety-nine thousand, forty".