457521696 has 120 divisors (see below), whose sum is σ = 1353844800. Its totient is φ = 151569792.

The previous prime is 457521689. The next prime is 457521703. The reversal of 457521696 is 696125754.

It is an interprime number because it is at equal distance from previous prime (457521689) and next prime (457521703).

It is a super-2 number, since 2×457521696² = 418652204621432832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 515365 + ... + 516251.

It is an arithmetic number, because the mean of its divisors is an integer number (11282040).

Almost surely, 2^457521696 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 457521696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676922400).

457521696 is an abundant number, since it is smaller than the sum of its proper divisors (896323104).

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

457521696 is a wasteful number, since it uses less digits than its factorization.

457521696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1091 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 457521696 is about 21389.7568008615. The cubic root of 457521696 is about 770.5554523700. Note that the first 3 decimals are identical.

The spelling of 457521696 in words is "four hundred fifty-seven million, five hundred twenty-one thousand, six hundred ninety-six".