457712640 has 704 divisors, whose sum is σ = 2075166720. Its totient is φ = 92897280.

The previous prime is 457712623. The next prime is 457712659. The reversal of 457712640 is 46217754.

457712640 is a `hidden beast` number, since 4 + 5 + 7 + 7 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 457712595 and 457712604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10644459 + ... + 10644501.

It is an arithmetic number, because the mean of its divisors is an integer number (2947680).

Almost surely, 2^457712640 is an apocalyptic number.

457712640 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 457712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037583360).

457712640 is an abundant number, since it is smaller than the sum of its proper divisors (1617454080).

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

457712640 is a wasteful number, since it uses less digits than its factorization.

457712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 457712640 is about 21394.2197801182. The cubic root of 457712640 is about 770.6626330625.

The spelling of 457712640 in words is "four hundred fifty-seven million, seven hundred twelve thousand, six hundred forty".