426752964 has 81 divisors (see below), whose sum is σ = 1189519149. Its totient is φ = 128905920.

The previous prime is 426752957. The next prime is 426752981. The reversal of 426752964 is 469257624.

The square root of 426752964 is 20658.

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

426752964 is a `hidden beast` number, since 4 + 2 + 67 + 529 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2722500 + 424030464 = 1650^2 + 20592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1363272 + ... + 1363584.

Almost surely, 2^426752964 is an apocalyptic number.

426752964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

426752964 is the 20658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426752964

426752964 is an abundant number, since it is smaller than the sum of its proper divisors (762766185).

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

426752964 is a wasteful number, since it uses less digits than its factorization.

426752964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 329 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The cubic root of 426752964 is about 752.8795752457.

It can be divided in two parts, 426752 and 964, that added together give a square (427716 = 654²).

The spelling of 426752964 in words is "four hundred twenty-six million, seven hundred fifty-two thousand, nine hundred sixty-four".