457880448113880 has 256 divisors, whose sum is σ = 1504676409200640. Its totient is φ = 110545766284800.

The previous prime is 457880448113863. The next prime is 457880448113939. The reversal of 457880448113880 is 88311844088754.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 460517359 + ... + 461510561.

It is an arithmetic number, because the mean of its divisors is an integer number (5877642223440).

Almost surely, 2^{457880448113880} is an apocalyptic number.

457880448113880 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 457880448113880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752338204600320).

457880448113880 is an abundant number, since it is smaller than the sum of its proper divisors (1046795961086760).

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

457880448113880 is a wasteful number, since it uses less digits than its factorization.

457880448113880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994662 (or 994658 counting only the distinct ones).

The product of its (nonzero) digits is 220200960, while the sum is 69.

The spelling of 457880448113880 in words is "four hundred fifty-seven trillion, eight hundred eighty billion, four hundred forty-eight million, one hundred thirteen thousand, eight hundred eighty".