457298688 has 432 divisors, whose sum is σ = 1652860160. Its totient is φ = 109486080.

The previous prime is 457298687. The next prime is 457298693. The reversal of 457298688 is 886892754.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457298687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12359406 + ... + 12359442.

Almost surely, 2^457298688 is an apocalyptic number.

457298688 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 457298688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826430080).

457298688 is an abundant number, since it is smaller than the sum of its proper divisors (1195561472).

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

457298688 is a wasteful number, since it uses less digits than its factorization.

457298688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 57.

The square root of 457298688 is about 21384.5432029772. The cubic root of 457298688 is about 770.4302357525.

The spelling of 457298688 in words is "four hundred fifty-seven million, two hundred ninety-eight thousand, six hundred eighty-eight".