457790144 has 168 divisors, whose sum is σ = 1159166592. Its totient is φ = 178053120.

The previous prime is 457790141. The next prime is 457790149. The reversal of 457790144 is 441097754.

It is not an unprimeable number, because it can be changed into a prime (457790141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1652534 + ... + 1652810.

Almost surely, 2^457790144 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 457790144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579583296).

457790144 is an abundant number, since it is smaller than the sum of its proper divisors (701376448).

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

457790144 is a wasteful number, since it uses less digits than its factorization.

457790144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 457790144 is about 21396.0310338156. The cubic root of 457790144 is about 770.7061291053.

The spelling of 457790144 in words is "four hundred fifty-seven million, seven hundred ninety thousand, one hundred forty-four".