457406676 has 108 divisors (see below), whose sum is σ = 1244099220. Its totient is φ = 146966400.

The previous prime is 457406659. The next prime is 457406693. The reversal of 457406676 is 676604754.

It is a happy number.

457406676 is a `hidden beast` number, since 4 + 574 + 0 + 6 + 6 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (457406659) and next prime (457406693).

It can be written as a sum of positive squares in 2 ways, for example, as 317552400 + 139854276 = 17820^2 + 11826^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 760776 + ... + 761376.

Almost surely, 2^457406676 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 457406676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622049610).

457406676 is an abundant number, since it is smaller than the sum of its proper divisors (786692544).

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

457406676 is an equidigital number, since it uses as much as digits as its factorization.

457406676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 457406676 is about 21387.0679617380. The cubic root of 457406676 is about 770.4908749470.

The spelling of 457406676 in words is "four hundred fifty-seven million, four hundred six thousand, six hundred seventy-six".