457436072 has 32 divisors (see below), whose sum is σ = 874798920. Its totient is φ = 224183040.

The previous prime is 457436071. The next prime is 457436087. The reversal of 457436072 is 270634754.

It can be written as a sum of positive squares in 4 ways, for example, as 80532676 + 376903396 = 8974^2 + 19414^2 .

It is not an unprimeable number, because it can be changed into a prime (457436071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153218 + ... + 156174.

Almost surely, 2^457436072 is an apocalyptic number.

It is an amenable number.

457436072 is a deficient number, since it is larger than the sum of its proper divisors (417362848).

457436072 is a wasteful number, since it uses less digits than its factorization.

457436072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The square root of 457436072 is about 21387.7551884250. The cubic root of 457436072 is about 770.5073802188.

It can be divided in two parts, 45743 and 6072, that added together give a palindrome (51815).

The spelling of 457436072 in words is "four hundred fifty-seven million, four hundred thirty-six thousand, seventy-two".