426257316 has 135 divisors (see below), whose sum is σ = 1183386897. Its totient is φ = 133786080.

The previous prime is 426257309. The next prime is 426257329. The reversal of 426257316 is 613752624.

The square root of 426257316 is 20646.

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

It can be written as a sum of positive squares in only one way, i.e., 381420900 + 44836416 = 19530^2 + 6696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11520450 + ... + 11520486.

Almost surely, 2^426257316 is an apocalyptic number.

426257316 is the 20646-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426257316

426257316 is an abundant number, since it is smaller than the sum of its proper divisors (757129581).

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

426257316 is a wasteful number, since it uses less digits than its factorization.

426257316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 73 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The cubic root of 426257316 is about 752.5879874893.

Multiplying 426257316 by its sum of digits (36), we get a square (15345263376 = 123876²).

426257316 divided by its sum of digits (36) gives a square (11840481 = 3441²).

The spelling of 426257316 in words is "four hundred twenty-six million, two hundred fifty-seven thousand, three hundred sixteen".