457660480 has 56 divisors (see below), whose sum is σ = 1099886040. Its totient is φ = 181370880.

The previous prime is 457660403. The next prime is 457660493. The reversal of 457660480 is 84066754.

It can be written as a sum of positive squares in 4 ways, for example, as 22353984 + 435306496 = 4728^2 + 20864^2 .

It is a super-2 number, since 2×457660480² = 418906229907660800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28320 + ... + 41440.

Almost surely, 2^457660480 is an apocalyptic number.

457660480 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 457660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549943020).

457660480 is an abundant number, since it is smaller than the sum of its proper divisors (642225560).

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

457660480 is a wasteful number, since it uses less digits than its factorization.

457660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13247 (or 13237 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 457660480 is about 21393.0007245361. Note that the first 3 decimals coincide. The cubic root of 457660480 is about 770.6333575692.

It can be divided in two parts, 4576 and 60480, that added together give a palindrome (65056).

The spelling of 457660480 in words is "four hundred fifty-seven million, six hundred sixty thousand, four hundred eighty".