465394160 has 240 divisors, whose sum is σ = 1410659712. Its totient is φ = 141120000.

The previous prime is 465394081. The next prime is 465394201. The reversal of 465394160 is 61493564.

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, 1854035 + ... + 1854285.

Almost surely, 2^465394160 is an apocalyptic number.

465394160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465394160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705329856).

465394160 is an abundant number, since it is smaller than the sum of its proper divisors (945265552).

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

465394160 is a wasteful number, since it uses less digits than its factorization.

465394160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 465394160 is about 21572.9960830664. The cubic root of 465394160 is about 774.9499294741.

The spelling of 465394160 in words is "four hundred sixty-five million, three hundred ninety-four thousand, one hundred sixty".