465982848000 has 704 divisors, whose sum is σ = 1739465270400. Its totient is φ = 123022540800.

The previous prime is 465982847983. The next prime is 465982848053. The reversal of 465982848000 is 848289564.

465982848000 is a `hidden beast` number, since 4 + 6 + 598 + 2 + 8 + 48 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×465982848000² (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 376703382 + ... + 376704618.

It is an arithmetic number, because the mean of its divisors is an integer number (2470831350).

Almost surely, 2^465982848000 is an apocalyptic number.

465982848000 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 465982848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869732635200).

465982848000 is an abundant number, since it is smaller than the sum of its proper divisors (1273482422400).

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

465982848000 is a wasteful number, since it uses less digits than its factorization.

465982848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 465982848000 in words is "four hundred sixty-five billion, nine hundred eighty-two million, eight hundred forty-eight thousand".