457765248 has 32 divisors (see below), whose sum is σ = 1215939960. Its totient is φ = 152588288.

The previous prime is 457765241. The next prime is 457765279. The reversal of 457765248 is 842567754.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 457765197 and 457765206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457765241) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 595665 + ... + 596432.

Almost surely, 2^457765248 is an apocalyptic number.

457765248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

457765248 is an abundant number, since it is smaller than the sum of its proper divisors (758174712).

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

457765248 is a wasteful number, since it uses less digits than its factorization.

457765248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192114 (or 1192102 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 48.

The square root of 457765248 is about 21395.4492357604. The cubic root of 457765248 is about 770.6921577490.

The spelling of 457765248 in words is "four hundred fifty-seven million, seven hundred sixty-five thousand, two hundred forty-eight".