457054752 has 288 divisors, whose sum is σ = 1556138304. Its totient is φ = 117089280.

The previous prime is 457054733. The next prime is 457054811. The reversal of 457054752 is 257450754.

It is a self number, because there is not a number n which added to its sum of digits gives 457054752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6260988 + ... + 6261060.

It is an arithmetic number, because the mean of its divisors is an integer number (5403258).

Almost surely, 2^457054752 is an apocalyptic number.

457054752 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 457054752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778069152).

457054752 is an abundant number, since it is smaller than the sum of its proper divisors (1099083552).

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

457054752 is a wasteful number, since it uses less digits than its factorization.

457054752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 196000, while the sum is 39.

The square root of 457054752 is about 21378.8388833444. The cubic root of 457054752 is about 770.2932216582.

The spelling of 457054752 in words is "four hundred fifty-seven million, fifty-four thousand, seven hundred fifty-two".