451631560 has 64 divisors (see below), whose sum is σ = 1052812800. Its totient is φ = 174363840.

The previous prime is 451631549. The next prime is 451631569. The reversal of 451631560 is 65136154.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (451631569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1191451 + ... + 1191829.

It is an arithmetic number, because the mean of its divisors is an integer number (16450200).

Almost surely, 2^451631560 is an apocalyptic number.

451631560 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 451631560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526406400).

451631560 is an abundant number, since it is smaller than the sum of its proper divisors (601181240).

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

451631560 is an equidigital number, since it uses as much as digits as its factorization.

451631560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 451631560 is about 21251.6248790534. The cubic root of 451631560 is about 767.2344485506.

The spelling of 451631560 in words is "four hundred fifty-one million, six hundred thirty-one thousand, five hundred sixty".