465293136 has 240 divisors, whose sum is σ = 1560328704. Its totient is φ = 116064000.

The previous prime is 465293123. The next prime is 465293141. The reversal of 465293136 is 631392564.

It is a junction number, because it is equal to n+sod(n) for n = 465293094 and 465293103.

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, 3551791 + ... + 3551921.

Almost surely, 2^465293136 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 465293136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780164352).

465293136 is an abundant number, since it is smaller than the sum of its proper divisors (1095035568).

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

465293136 is a wasteful number, since it uses less digits than its factorization.

465293136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 185 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 465293136 is about 21570.6545102368. The cubic root of 465293136 is about 774.8938521288.

The spelling of 465293136 in words is "four hundred sixty-five million, two hundred ninety-three thousand, one hundred thirty-six".