464632896 has 336 divisors, whose sum is σ = 1605320640. Its totient is φ = 117411840.

The previous prime is 464632849. The next prime is 464632901. The reversal of 464632896 is 698236464.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3546751 + ... + 3546881.

It is an arithmetic number, because the mean of its divisors is an integer number (4777740).

Almost surely, 2^464632896 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 464632896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802660320).

464632896 is an abundant number, since it is smaller than the sum of its proper divisors (1140687744).

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

464632896 is a wasteful number, since it uses less digits than its factorization.

464632896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 464632896 is about 21555.3449520067. The cubic root of 464632896 is about 774.5271599237.

The spelling of 464632896 in words is "four hundred sixty-four million, six hundred thirty-two thousand, eight hundred ninety-six".