457403400 has 216 divisors, whose sum is σ = 1583995530. Its totient is φ = 118264320.

The previous prime is 457403393. The next prime is 457403413. The reversal of 457403400 is 4304754.

It can be written as a sum of positive squares in 3 ways, for example, as 352012644 + 105390756 = 18762^2 + 10266^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6265764 + ... + 6265836.

Almost surely, 2^457403400 is an apocalyptic number.

457403400 is a gapful number since it is divisible by the number (40) 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 457403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791997765).

457403400 is an abundant number, since it is smaller than the sum of its proper divisors (1126592130).

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

457403400 is a wasteful number, since it uses less digits than its factorization.

457403400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 457403400 is about 21386.9913732624. The cubic root of 457403400 is about 770.4890354941.

The spelling of 457403400 in words is "four hundred fifty-seven million, four hundred three thousand, four hundred".