457456032 has 192 divisors, whose sum is σ = 1470873600. Its totient is φ = 137168640.

The previous prime is 457456031. The next prime is 457456067. The reversal of 457456032 is 230654754.

457456032 is a `hidden beast` number, since 4 + 5 + 7 + 45 + 603 + 2 = 666.

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 not an unprimeable number, because it can be changed into a prime (457456031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1206819 + ... + 1207197.

It is an arithmetic number, because the mean of its divisors is an integer number (7660800).

Almost surely, 2^457456032 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 457456032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735436800).

457456032 is an abundant number, since it is smaller than the sum of its proper divisors (1013417568).

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

457456032 is a wasteful number, since it uses less digits than its factorization.

457456032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 457456032 is about 21388.2218054704. The cubic root of 457456032 is about 770.5185869605.

It can be divided in two parts, 4574 and 56032, that added together give a palindrome (60606).

The spelling of 457456032 in words is "four hundred fifty-seven million, four hundred fifty-six thousand, thirty-two".