464299020856944 has 480 divisors, whose sum is σ = 1709765981973504. Its totient is φ = 114130469560320.

The previous prime is 464299020856943. The next prime is 464299020856963. The reversal of 464299020856944 is 449658020992464.

464299020856944 is a `hidden beast` number, since 4 + 6 + 429 + 9 + 0 + 20 + 85 + 69 + 44 = 666.

It is a super-2 number, since 2×464299020856944² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464299020856943) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12827499 + ... + 33062709.

Almost surely, 2^{464299020856944} 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 464299020856944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854882990986752).

464299020856944 is an abundant number, since it is smaller than the sum of its proper divisors (1245466961116560).

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

464299020856944 is a wasteful number, since it uses less digits than its factorization.

464299020856944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20235365 (or 20235356 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 464299020856944 in words is "four hundred sixty-four trillion, two hundred ninety-nine billion, twenty million, eight hundred fifty-six thousand, nine hundred forty-four".