456327360 has 252 divisors, whose sum is σ = 1657788912. Its totient is φ = 114994176.

The previous prime is 456327341. The next prime is 456327461. The reversal of 456327360 is 63723654.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5497879 + ... + 5497961.

Almost surely, 2^456327360 is an apocalyptic number.

456327360 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 456327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828894456).

456327360 is an abundant number, since it is smaller than the sum of its proper divisors (1201461552).

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

456327360 is a wasteful number, since it uses less digits than its factorization.

456327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 456327360 is about 21361.8201471691. The cubic root of 456327360 is about 769.8843701109.

The spelling of 456327360 in words is "four hundred fifty-six million, three hundred twenty-seven thousand, three hundred sixty".