456930720 has 120 divisors (see below), whose sum is σ = 1612630404. Its totient is φ = 121844736.

The previous prime is 456930713. The next prime is 456930737. The reversal of 456930720 is 27039654.

It can be written as a sum of positive squares in 2 ways, for example, as 387774864 + 69155856 = 19692^2 + 8316^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 19 ways as a sum of consecutive naturals, for example, 4669 + ... + 30588.

Almost surely, 2^456930720 is an apocalyptic number.

456930720 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 456930720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806315202).

456930720 is an abundant number, since it is smaller than the sum of its proper divisors (1155699684).

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

456930720 is a wasteful number, since it uses less digits than its factorization.

456930720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35284 (or 35267 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 456930720 is about 21375.9378741612. The cubic root of 456930720 is about 770.2235366061.

The spelling of 456930720 in words is "four hundred fifty-six million, nine hundred thirty thousand, seven hundred twenty".