457274016 has 72 divisors (see below), whose sum is σ = 1302927444. Its totient is φ = 152125440.

The previous prime is 457274003. The next prime is 457274029. The reversal of 457274016 is 610472754.

457274016 is a `hidden beast` number, since 4 + 572 + 74 + 0 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (457274003) and next prime (457274029).

It can be written as a sum of positive squares in 2 ways, for example, as 432473616 + 24800400 = 20796^2 + 4980^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 183370 + ... + 185846.

Almost surely, 2^457274016 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 457274016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651463722).

457274016 is an abundant number, since it is smaller than the sum of its proper divisors (845653428).

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

457274016 is a wasteful number, since it uses less digits than its factorization.

457274016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 457274016 is about 21383.9663299398. The cubic root of 457274016 is about 770.4163801863.

The spelling of 457274016 in words is "four hundred fifty-seven million, two hundred seventy-four thousand, sixteen".