457507491840 has 1248 divisors, whose sum is σ = 1964657350656. Its totient is φ = 99851304960.

The previous prime is 457507491829. The next prime is 457507491877. The reversal of 457507491840 is 48194705754.

457507491840 is a `hidden beast` number, since 4 + 5 + 7 + 507 + 4 + 91 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 801238755 + ... + 801239325.

It is an arithmetic number, because the mean of its divisors is an integer number (1574244672).

Almost surely, 2^457507491840 is an apocalyptic number.

457507491840 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 457507491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982328675328).

457507491840 is an abundant number, since it is smaller than the sum of its proper divisors (1507149858816).

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

457507491840 is an equidigital number, since it uses as much as digits as its factorization.

457507491840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 457507491840 in words is "four hundred fifty-seven billion, five hundred seven million, four hundred ninety-one thousand, eight hundred forty".