457981400 has 48 divisors (see below), whose sum is σ = 1074808440. Its totient is φ = 181472000.

The previous prime is 457981361. The next prime is 457981409. The reversal of 457981400 is 4189754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457981409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10700 + ... + 32100.

Almost surely, 2^457981400 is an apocalyptic number.

457981400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 21400×21401.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457981400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537404220).

457981400 is an abundant number, since it is smaller than the sum of its proper divisors (616827040).

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

457981400 is a wasteful number, since it uses less digits than its factorization.

457981400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21524 (or 21515 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 457981400 is about 21400.4999941590. The cubic root of 457981400 is about 770.8134429410.

The spelling of 457981400 in words is "four hundred fifty-seven million, nine hundred eighty-one thousand, four hundred".