457985880000 has 1120 divisors, whose sum is σ = 1932956256000. Its totient is φ = 105131520000.

The previous prime is 457985879971. The next prime is 457985880029. The reversal of 457985880000 is 88589754.

457985880000 is a `hidden beast` number, since 4 + 57 + 9 + 8 + 588 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (457985879971) and next prime (457985880029).

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

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 225718986 + ... + 225721014.

It is an arithmetic number, because the mean of its divisors is an integer number (1725853800).

Almost surely, 2^457985880000 is an apocalyptic number.

457985880000 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 457985880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966478128000).

457985880000 is an abundant number, since it is smaller than the sum of its proper divisors (1474970376000).

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

457985880000 is a wasteful number, since it uses less digits than its factorization.

457985880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 457985880000 in words is "four hundred fifty-seven billion, nine hundred eighty-five million, eight hundred eighty thousand".