457372840 has 16 divisors (see below), whose sum is σ = 1029088980. Its totient is φ = 182949120.

The previous prime is 457372837. The next prime is 457372843. The reversal of 457372840 is 48273754.

It is an interprime number because it is at equal distance from previous prime (457372837) and next prime (457372843).

It can be written as a sum of positive squares in 2 ways, for example, as 451052644 + 6320196 = 21238^2 + 2514^2 .

It is a super-3 number, since 3×457372840³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 11434321 = 457372840 / (4 + 5 + 7 + 3 + 7 + 2 + 8 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 457372793 and 457372802.

It is not an unprimeable number, because it can be changed into a prime (457372843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5717121 + ... + 5717200.

Almost surely, 2^457372840 is an apocalyptic number.

457372840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457372840 is an abundant number, since it is smaller than the sum of its proper divisors (571716140).

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

457372840 is a wasteful number, since it uses less digits than its factorization.

457372840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11434332 (or 11434328 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The square root of 457372840 is about 21386.2769083354. The cubic root of 457372840 is about 770.4718758276.

The spelling of 457372840 in words is "four hundred fifty-seven million, three hundred seventy-two thousand, eight hundred forty".