465620832 has 96 divisors (see below), whose sum is σ = 1417167360. Its totient is φ = 148452480.

The previous prime is 465620773. The next prime is 465620833. The reversal of 465620832 is 238026564.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465620833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8157 + ... + 31587.

It is an arithmetic number, because the mean of its divisors is an integer number (14762160).

Almost surely, 2^465620832 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 465620832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708583680).

465620832 is an abundant number, since it is smaller than the sum of its proper divisors (951546528).

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

465620832 is a wasteful number, since it uses less digits than its factorization.

465620832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23473 (or 23459 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 465620832 is about 21578.2490485211. The cubic root of 465620832 is about 775.0757231595.

The spelling of 465620832 in words is "four hundred sixty-five million, six hundred twenty thousand, eight hundred thirty-two".