456914952 has 256 divisors, whose sum is σ = 1467648000. Its totient is φ = 130636800.

The previous prime is 456914881. The next prime is 456914963. The reversal of 456914952 is 259419654.

456914952 is a `hidden beast` number, since 456 + 9 + 149 + 52 = 666.

It is a super-2 number, since 2×456914952² = 417542546722324608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456914898 and 456914907.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2524302 + ... + 2524482.

It is an arithmetic number, because the mean of its divisors is an integer number (5733000).

Almost surely, 2^456914952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456914952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733824000).

456914952 is an abundant number, since it is smaller than the sum of its proper divisors (1010733048).

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

456914952 is a wasteful number, since it uses less digits than its factorization.

456914952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 259 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 456914952 is about 21375.5690450570. The cubic root of 456914952 is about 770.2146767477.

The spelling of 456914952 in words is "four hundred fifty-six million, nine hundred fourteen thousand, nine hundred fifty-two".