456532000 has 96 divisors (see below), whose sum is σ = 1180932480. Its totient is φ = 172972800.

The previous prime is 456531941. The next prime is 456532033. The reversal of 456532000 is 235654.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 72997 + ... + 79003.

It is an arithmetic number, because the mean of its divisors is an integer number (12301380).

Almost surely, 2^456532000 is an apocalyptic number.

456532000 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 456532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590466240).

456532000 is an abundant number, since it is smaller than the sum of its proper divisors (724400480).

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

456532000 is a wasteful number, since it uses less digits than its factorization.

456532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6051 (or 6033 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 456532000 is about 21366.6094643020. The cubic root of 456532000 is about 769.9994377912. Note that the first 3 decimals are identical.

Adding to 456532000 its reverse (235654), we get a palindrome (456767654).

The spelling of 456532000 in words is "four hundred fifty-six million, five hundred thirty-two thousand".