457153536 has 132 divisors (see below), whose sum is σ = 1417883208. Its totient is φ = 130572288.

The previous prime is 457153523. The next prime is 457153583. The reversal of 457153536 is 635351754.

It is a junction number, because it is equal to n+sod(n) for n = 457153494 and 457153503.

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, 149010 + ... + 152046.

Almost surely, 2^457153536 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 457153536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708941604).

457153536 is an abundant number, since it is smaller than the sum of its proper divisors (960729672).

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

457153536 is a wasteful number, since it uses less digits than its factorization.

457153536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3049 counting only the distinct ones).

The product of its digits is 189000, while the sum is 39.

The square root of 457153536 is about 21381.1490804400. The cubic root of 457153536 is about 770.3487125769.

The spelling of 457153536 in words is "four hundred fifty-seven million, one hundred fifty-three thousand, five hundred thirty-six".