457111573325400 has 768 divisors, whose sum is σ = 1685098089676800. Its totient is φ = 100306169856000.

The previous prime is 457111573325399. The next prime is 457111573325453. The reversal of 457111573325400 is 4523375111754.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 457111573325400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9021142065 + ... + 9021192735.

It is an arithmetic number, because the mean of its divisors is an integer number (2194138137600).

Almost surely, 2^{457111573325400} is an apocalyptic number.

457111573325400 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 457111573325400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842549044838400).

457111573325400 is an abundant number, since it is smaller than the sum of its proper divisors (1227986516351400).

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

457111573325400 is a wasteful number, since it uses less digits than its factorization.

457111573325400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51280 (or 51271 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 457111573325400 in words is "four hundred fifty-seven trillion, one hundred eleven billion, five hundred seventy-three million, three hundred twenty-five thousand, four hundred".