457026752 has 112 divisors (see below), whose sum is σ = 1129101120. Its totient is φ = 178716672.

The previous prime is 457026743. The next prime is 457026761. The reversal of 457026752 is 257620754.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (457026743) and next prime (457026761).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564524 + ... + 565332.

It is an arithmetic number, because the mean of its divisors is an integer number (10081260).

Almost surely, 2^457026752 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 457026752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564550560).

457026752 is an abundant number, since it is smaller than the sum of its proper divisors (672074368).

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

457026752 is a wasteful number, since it uses less digits than its factorization.

457026752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 38.

The square root of 457026752 is about 21378.1840201641. The cubic root of 457026752 is about 770.2774914854.

The spelling of 457026752 in words is "four hundred fifty-seven million, twenty-six thousand, seven hundred fifty-two".