457427545928640 has 2688 divisors, whose sum is σ = 1959186819744000. Its totient is φ = 101339376058368.

The previous prime is 457427545928599. The next prime is 457427545928681. The reversal of 457427545928640 is 46829545724754.

457427545928640 is a `hidden beast` number, since 4 + 5 + 7 + 4 + 27 + 5 + 4 + 592 + 8 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (457427545928599) and next prime (457427545928681).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 442814661564 + ... + 442814662596.

It is an arithmetic number, because the mean of its divisors is an integer number (728864144250).

Almost surely, 2^{457427545928640} is an apocalyptic number.

457427545928640 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 457427545928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979593409872000).

457427545928640 is an abundant number, since it is smaller than the sum of its proper divisors (1501759273815360).

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

457427545928640 is a wasteful number, since it uses less digits than its factorization.

457427545928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 2709504000, while the sum is 72.

The spelling of 457427545928640 in words is "four hundred fifty-seven trillion, four hundred twenty-seven billion, five hundred forty-five million, nine hundred twenty-eight thousand, six hundred forty".