677225472 has 264 divisors, whose sum is σ = 2296242720. Its totient is φ = 175472640.

The previous prime is 677225459. The next prime is 677225519. The reversal of 677225472 is 274522776.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1655604 + ... + 1656012.

Almost surely, 2^677225472 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 677225472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148121360).

677225472 is an abundant number, since it is smaller than the sum of its proper divisors (1619017248).

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

677225472 is a wasteful number, since it uses less digits than its factorization.

677225472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 432 counting only the distinct ones).

The product of its digits is 329280, while the sum is 42.

The square root of 677225472 is about 26023.5560982737. The cubic root of 677225472 is about 878.1683112623.

The spelling of 677225472 in words is "six hundred seventy-seven million, two hundred twenty-five thousand, four hundred seventy-two".