457815416632 has 128 divisors (see below), whose sum is σ = 1011972528000. Its totient is φ = 194073944064.

The previous prime is 457815416603. The next prime is 457815416677. The reversal of 457815416632 is 236614518754.

Its product of digits (4838400) is a multiple of the sum of its prime factors (3150).

It is a self number, because there is not a number n which added to its sum of digits gives 457815416632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191313228 + ... + 191315620.

It is an arithmetic number, because the mean of its divisors is an integer number (7906035375).

Almost surely, 2^457815416632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457815416632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505986264000).

457815416632 is an abundant number, since it is smaller than the sum of its proper divisors (554157111368).

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

457815416632 is a wasteful number, since it uses less digits than its factorization.

457815416632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3132 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 52.

The spelling of 457815416632 in words is "four hundred fifty-seven billion, eight hundred fifteen million, four hundred sixteen thousand, six hundred thirty-two".