457476332144 has 80 divisors (see below), whose sum is σ = 987771153600. Its totient is φ = 203797321728.

The previous prime is 457476332111. The next prime is 457476332197. The reversal of 457476332144 is 441233674754.

It is a junction number, because it is equal to n+sod(n) for n = 457476332092 and 457476332101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22422812 + ... + 22443204.

It is an arithmetic number, because the mean of its divisors is an integer number (12347139420).

Almost surely, 2^457476332144 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 457476332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493885576800).

457476332144 is an abundant number, since it is smaller than the sum of its proper divisors (530294821456).

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

457476332144 is a wasteful number, since it uses less digits than its factorization.

457476332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24162 (or 24156 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 50.

The spelling of 457476332144 in words is "four hundred fifty-seven billion, four hundred seventy-six million, three hundred thirty-two thousand, one hundred forty-four".