464456939520 has 1152 divisors, whose sum is σ = 1859652587520. Its totient is φ = 96825507840.

The previous prime is 464456939477. The next prime is 464456939629. The reversal of 464456939520 is 25939654464.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 2406512544 + ... + 2406512736.

It is an arithmetic number, because the mean of its divisors is an integer number (1614281760).

Almost surely, 2^464456939520 is an apocalyptic number.

464456939520 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 464456939520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929826293760).

464456939520 is an abundant number, since it is smaller than the sum of its proper divisors (1395195648000).

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

464456939520 is a wasteful number, since it uses less digits than its factorization.

464456939520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 57.

The spelling of 464456939520 in words is "four hundred sixty-four billion, four hundred fifty-six million, nine hundred thirty-nine thousand, five hundred twenty".