465307136 has 120 divisors (see below), whose sum is σ = 1146161016. Its totient is φ = 187514880.

The previous prime is 465307127. The next prime is 465307151. The reversal of 465307136 is 631703564.

It is a junction number, because it is equal to n+sod(n) for n = 465307096 and 465307105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 425951 + ... + 427041.

Almost surely, 2^465307136 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 465307136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573080508).

465307136 is an abundant number, since it is smaller than the sum of its proper divisors (680853880).

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

465307136 is a wasteful number, since it uses less digits than its factorization.

465307136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 465307136 is about 21570.9790227518. The cubic root of 465307136 is about 774.9016238640.

The spelling of 465307136 in words is "four hundred sixty-five million, three hundred seven thousand, one hundred thirty-six".