456488320 has 64 divisors (see below), whose sum is σ = 1098846000. Its totient is φ = 181331968.

The previous prime is 456488317. The next prime is 456488363. The reversal of 456488320 is 23884654.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92967 + ... + 97753.

Almost surely, 2^456488320 is an apocalyptic number.

456488320 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 456488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549423000).

456488320 is an abundant number, since it is smaller than the sum of its proper divisors (642357680).

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

456488320 is a wasteful number, since it uses less digits than its factorization.

456488320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4955 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 456488320 is about 21365.5872842288. The cubic root of 456488320 is about 769.9748797112.

The spelling of 456488320 in words is "four hundred fifty-six million, four hundred eighty-eight thousand, three hundred twenty".