456025752 has 288 divisors, whose sum is σ = 1582242480. Its totient is φ = 117573120.

The previous prime is 456025741. The next prime is 456025771. The reversal of 456025752 is 257520654.

456025752 is a `hidden beast` number, since 4 + 560 + 25 + 75 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2797623 + ... + 2797785.

Almost surely, 2^456025752 is an apocalyptic number.

456025752 is a gapful number since it is divisible by the number (42) 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 456025752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791121240).

456025752 is an abundant number, since it is smaller than the sum of its proper divisors (1126216728).

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

456025752 is a wasteful number, since it uses less digits than its factorization.

456025752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 456025752 is about 21354.7594694953. The cubic root of 456025752 is about 769.7147152518.

The spelling of 456025752 in words is "four hundred fifty-six million, twenty-five thousand, seven hundred fifty-two".