464887645920 has 384 divisors, whose sum is σ = 1687827456000. Its totient is φ = 119367198720.

The previous prime is 464887645913. The next prime is 464887645961. The reversal of 464887645920 is 29546788464.

464887645920 is a `hidden beast` number, since 4 + 6 + 488 + 7 + 64 + 5 + 92 + 0 = 666.

464887645920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×464887645920² (a number of 24 digits) contains 22 as substring.

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, 47476225 + ... + 47486015.

It is an arithmetic number, because the mean of its divisors is an integer number (4395384000).

Almost surely, 2^464887645920 is an apocalyptic number.

464887645920 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 464887645920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843913728000).

464887645920 is an abundant number, since it is smaller than the sum of its proper divisors (1222939810080).

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

464887645920 is a wasteful number, since it uses less digits than its factorization.

464887645920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10223 (or 10209 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 464887645920 in words is "four hundred sixty-four billion, eight hundred eighty-seven million, six hundred forty-five thousand, nine hundred twenty".