457641162000 has 480 divisors, whose sum is σ = 1780832162304. Its totient is φ = 108580608000.

The previous prime is 457641161987. The next prime is 457641162007. The reversal of 457641162000 is 261146754.

457641162000 is a `hidden beast` number, since 4 + 5 + 7 + 641 + 1 + 6 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (457641162007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9281412 + ... + 9330588.

Almost surely, 2^457641162000 is an apocalyptic number.

457641162000 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 457641162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890416081152).

457641162000 is an abundant number, since it is smaller than the sum of its proper divisors (1323191000304).

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

457641162000 is a wasteful number, since it uses less digits than its factorization.

457641162000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49264 (or 49245 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 457641162000 in words is "four hundred fifty-seven billion, six hundred forty-one million, one hundred sixty-two thousand".