457587900000 has 2304 divisors, whose sum is σ = 2177140654080. Its totient is φ = 90720000000.

The previous prime is 457587899887. The next prime is 457587900019. The reversal of 457587900000 is 9785754.

457587900000 is a `hidden beast` number, since 4 + 575 + 8 + 79 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6444899965 + ... + 6444900035.

It is an arithmetic number, because the mean of its divisors is an integer number (944939520).

Almost surely, 2^457587900000 is an apocalyptic number.

457587900000 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 457587900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088570327040).

457587900000 is an abundant number, since it is smaller than the sum of its proper divisors (1719552754080).

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

457587900000 is a wasteful number, since it uses less digits than its factorization.

457587900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 457587900000 in words is "four hundred fifty-seven billion, five hundred eighty-seven million, nine hundred thousand".