457406400 has 168 divisors, whose sum is σ = 1637288064. Its totient is φ = 110873600.

The previous prime is 457406371. The next prime is 457406407. The reversal of 457406400 is 4604754.

It is a super-2 number, since 2×457406400² = 418441229521920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457406407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48469 + ... + 57131.

Almost surely, 2^457406400 is an apocalyptic number.

457406400 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 457406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818644032).

457406400 is an abundant number, since it is smaller than the sum of its proper divisors (1179881664).

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

457406400 is a wasteful number, since it uses less digits than its factorization.

457406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8699 (or 8684 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 457406400 is about 21387.0615092396. The cubic root of 457406400 is about 770.4907199751.

The spelling of 457406400 in words is "four hundred fifty-seven million, four hundred six thousand, four hundred".