456252048 has 240 divisors, whose sum is σ = 1556388480. Its totient is φ = 125349120.

The previous prime is 456252029. The next prime is 456252053. The reversal of 456252048 is 840252654.

It is a happy number.

456252048 is a `hidden beast` number, since 4 + 5 + 625 + 20 + 4 + 8 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2905986 + ... + 2906142.

It is an arithmetic number, because the mean of its divisors is an integer number (6484952).

Almost surely, 2^456252048 is an apocalyptic number.

456252048 is a gapful number since it is divisible by the number (48) 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 456252048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778194240).

456252048 is an abundant number, since it is smaller than the sum of its proper divisors (1100136432).

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

456252048 is a wasteful number, since it uses less digits than its factorization.

456252048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 456252048 is about 21360.0573032939. The cubic root of 456252048 is about 769.8420140256.

The spelling of 456252048 in words is "four hundred fifty-six million, two hundred fifty-two thousand, forty-eight".