457462080 has 392 divisors, whose sum is σ = 1709041032. Its totient is φ = 116453376.

The previous prime is 457462063. The next prime is 457462091. The reversal of 457462080 is 80264754.

457462080 is a `hidden beast` number, since 4 + 574 + 6 + 2 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 173606976 + 283855104 = 13176^2 + 16848^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8631334 + ... + 8631386.

Almost surely, 2^457462080 is an apocalyptic number.

457462080 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 457462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854520516).

457462080 is an abundant number, since it is smaller than the sum of its proper divisors (1251578952).

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

457462080 is an equidigital number, since it uses as much as digits as its factorization.

457462080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 457462080 is about 21388.3631912309. The cubic root of 457462080 is about 770.5219826062.

The spelling of 457462080 in words is "four hundred fifty-seven million, four hundred sixty-two thousand, eighty".