457105488 has 80 divisors (see below), whose sum is σ = 1352103936. Its totient is φ = 130354560.

The previous prime is 457105471. The next prime is 457105489. The reversal of 457105488 is 884501754.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457105489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248733 + ... + 250563.

Almost surely, 2^457105488 is an apocalyptic number.

457105488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457105488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676051968).

457105488 is an abundant number, since it is smaller than the sum of its proper divisors (894998448).

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

457105488 is a wasteful number, since it uses less digits than its factorization.

457105488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The square root of 457105488 is about 21380.0254443254. The cubic root of 457105488 is about 770.3217230946.

The spelling of 457105488 in words is "four hundred fifty-seven million, one hundred five thousand, four hundred eighty-eight".