457317355440 has 320 divisors, whose sum is σ = 1653176189952. Its totient is φ = 103457587200.

The previous prime is 457317355409. The next prime is 457317355471. The reversal of 457317355440 is 44553713754.

It is an interprime number because it is at equal distance from previous prime (457317355409) and next prime (457317355471).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 457317355440.

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, 2397672 + ... + 2581368.

Almost surely, 2^457317355440 is an apocalyptic number.

457317355440 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 457317355440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826588094976).

457317355440 is an abundant number, since it is smaller than the sum of its proper divisors (1195858834512).

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

457317355440 is a wasteful number, since it uses less digits than its factorization.

457317355440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183788 (or 183782 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 48.

The spelling of 457317355440 in words is "four hundred fifty-seven billion, three hundred seventeen million, three hundred fifty-five thousand, four hundred forty".