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450385255260 = 223352336798809
BaseRepresentation
bin1101000110111010000…
…11011001101101011100
31121001112010022112111000
412203131003121231130
524334342111132020
6542523143030300
744352652334643
oct6433503315534
91531463275430
10450385255260
1116400980a426
127335513b390
1333618159255
1417b27b3a35a
15baaeedd090
hex68dd0d9b5c

450385255260 has 192 divisors, whose sum is σ = 1466119065600. Its totient is φ = 114566690304.

The previous prime is 450385255259. The next prime is 450385255267. The reversal of 450385255260 is 62552583054.

450385255260 is a `hidden beast` number, since 4 + 5 + 0 + 38 + 5 + 2 + 552 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450385255267) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4508736 + ... + 4607544.

It is an arithmetic number, because the mean of its divisors is an integer number (7636036800).

Almost surely, 2450385255260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450385255260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733059532800).

450385255260 is an abundant number, since it is smaller than the sum of its proper divisors (1015733810340).

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

450385255260 is a wasteful number, since it uses less digits than its factorization.

450385255260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99217 (or 99209 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 450385255260 in words is "four hundred fifty billion, three hundred eighty-five million, two hundred fifty-five thousand, two hundred sixty".