465096000 has 112 divisors (see below), whose sum is σ = 1535826240. Its totient is φ = 124019200.

The previous prime is 465095999. The next prime is 465096017. The reversal of 465096000 is 690564.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14311 + ... + 33689.

Almost surely, 2^465096000 is an apocalyptic number.

465096000 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 465096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767913120).

465096000 is an abundant number, since it is smaller than the sum of its proper divisors (1070730240).

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

465096000 is a wasteful number, since it uses less digits than its factorization.

465096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19409 (or 19389 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 465096000 is about 21566.0844846718. The cubic root of 465096000 is about 774.7844006587.

The spelling of 465096000 in words is "four hundred sixty-five million, ninety-six thousand".