464435292256 has 72 divisors (see below), whose sum is σ = 994545034560. Its totient is φ = 213392964096.

The previous prime is 464435292199. The next prime is 464435292259. The reversal of 464435292256 is 652292534464.

It is a super-2 number, since 2×464435292256² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464435292259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1013430 + ... + 1398538.

It is an arithmetic number, because the mean of its divisors is an integer number (13813125480).

Almost surely, 2^464435292256 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 464435292256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497272517280).

464435292256 is an abundant number, since it is smaller than the sum of its proper divisors (530109742304).

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

464435292256 is a wasteful number, since it uses less digits than its factorization.

464435292256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385368 (or 385347 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 52.

The spelling of 464435292256 in words is "four hundred sixty-four billion, four hundred thirty-five million, two hundred ninety-two thousand, two hundred fifty-six".