465938853120 has 864 divisors, whose sum is σ = 1815547843200. Its totient is φ = 113730158592.

The previous prime is 465938853101. The next prime is 465938853137. The reversal of 465938853120 is 21358839564.

465938853120 is a `hidden beast` number, since 4 + 6 + 5 + 9 + 3 + 88 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 562048866 + ... + 562049694.

Almost surely, 2^465938853120 is an apocalyptic number.

465938853120 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 465938853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907773921600).

465938853120 is an abundant number, since it is smaller than the sum of its proper divisors (1349608990080).

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

465938853120 is a wasteful number, since it uses less digits than its factorization.

465938853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 465938853120 in words is "four hundred sixty-five billion, nine hundred thirty-eight million, eight hundred fifty-three thousand, one hundred twenty".