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486465540 = 22351117191227
BaseRepresentation
bin11100111111101…
…110000000000100
31020220101000021020
4130333232000010
51444013344130
6120134351140
715024613611
oct3477560004
91226330236
10486465540
1122a662840
12116abb4b0
1379a26842
1448871508
152ca92e10
hex1cfee004

486465540 has 192 divisors, whose sum is σ = 1588543488. Its totient is φ = 109926400.

The previous prime is 486465509. The next prime is 486465589. The reversal of 486465540 is 45564684.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 486465492 and 486465501.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2142907 + ... + 2143133.

It is an arithmetic number, because the mean of its divisors is an integer number (8273664).

Almost surely, 2486465540 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 486465540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794271744).

486465540 is an abundant number, since it is smaller than the sum of its proper divisors (1102077948).

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

486465540 is a wasteful number, since it uses less digits than its factorization.

486465540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The square root of 486465540 is about 22055.9638193392. The cubic root of 486465540 is about 786.4733792895.

The spelling of 486465540 in words is "four hundred eighty-six million, four hundred sixty-five thousand, five hundred forty".