407768355225625 has 15 divisors (see below), whose sum is σ = 509547967528633. Its totient is φ = 326214280315000.

The previous prime is 407768355225599. The next prime is 407768355225659. The reversal of 407768355225625 is 526522553867704.

The square root of 407768355225625 is 20193275.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 31969039049689 + 375799316175936 = 5654117^2 + 19385544^2 .

It is not a de Polignac number, because 407768355225625 - 2²³ = 407768346837017 is a prime.

It is a super-2 number, since 2×407768355225625² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 504428010 + ... + 505235740.

Almost surely, 2^{407768355225625} is an apocalyptic number.

407768355225625 is the 20193275-th square number.

407768355225625 is the 10096638-th centered octagonal number.

It is an amenable number.

407768355225625 is a deficient number, since it is larger than the sum of its proper divisors (101779612303008).

407768355225625 is an frugal number, since it uses more digits than its factorization.

407768355225625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615482 (or 807736 counting only the distinct ones).

The product of its (nonzero) digits is 846720000, while the sum is 67.

The spelling of 407768355225625 in words is "four hundred seven trillion, seven hundred sixty-eight billion, three hundred fifty-five million, two hundred twenty-five thousand, six hundred twenty-five".