464735232 has 220 divisors, whose sum is σ = 1498010976. Its totient is φ = 142663680.

The previous prime is 464735203. The next prime is 464735251. The reversal of 464735232 is 232537464.

464735232 is a `hidden beast` number, since 4 + 64 + 73 + 523 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1078057 + ... + 1078487.

Almost surely, 2^464735232 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 464735232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749005488).

464735232 is an abundant number, since it is smaller than the sum of its proper divisors (1033275744).

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

464735232 is a wasteful number, since it uses less digits than its factorization.

464735232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 449 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 464735232 is about 21557.7186177016. The cubic root of 464735232 is about 774.5840192877.

The spelling of 464735232 in words is "four hundred sixty-four million, seven hundred thirty-five thousand, two hundred thirty-two".