457757616 has 80 divisors (see below), whose sum is σ = 1211172480. Its totient is φ = 148938240.

The previous prime is 457757611. The next prime is 457757653. The reversal of 457757616 is 616757754.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (457757611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353931 + ... + 355221.

It is an arithmetic number, because the mean of its divisors is an integer number (15139656).

Almost surely, 2^457757616 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 457757616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605586240).

457757616 is an abundant number, since it is smaller than the sum of its proper divisors (753414864).

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

457757616 is a wasteful number, since it uses less digits than its factorization.

457757616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1468 counting only the distinct ones).

The product of its digits is 1234800, while the sum is 48.

The square root of 457757616 is about 21395.2708793322. The cubic root of 457757616 is about 770.6878746547.

The spelling of 457757616 in words is "four hundred fifty-seven million, seven hundred fifty-seven thousand, six hundred sixteen".