457421600 has 36 divisors (see below), whose sum is σ = 1116682434. Its totient is φ = 182968320.

The previous prime is 457421597. The next prime is 457421603. The reversal of 457421600 is 6124754.

It is an interprime number because it is at equal distance from previous prime (457421597) and next prime (457421603).

It can be written as a sum of positive squares in 3 ways, for example, as 261533584 + 195888016 = 16172^2 + 13996^2 .

It is not an unprimeable number, because it can be changed into a prime (457421603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 285089 + ... + 286688.

Almost surely, 2^457421600 is an apocalyptic number.

457421600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457421600 is an abundant number, since it is smaller than the sum of its proper divisors (659260834).

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

457421600 is a wasteful number, since it uses less digits than its factorization.

457421600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571797 (or 571784 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 457421600 is about 21387.4168613229. The cubic root of 457421600 is about 770.4992545658.

The spelling of 457421600 in words is "four hundred fifty-seven million, four hundred twenty-one thousand, six hundred".