426013965 has 128 divisors (see below), whose sum is σ = 878169600. Its totient is φ = 194088960.

The previous prime is 426013963. The next prime is 426014021. The reversal of 426013965 is 569310624.

It is a happy number.

426013965 is a `hidden beast` number, since 4 + 260 + 1 + 396 + 5 = 666.

It is not a de Polignac number, because 426013965 - 2¹ = 426013963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426013963) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3251950 + ... + 3252080.

It is an arithmetic number, because the mean of its divisors is an integer number (6860700).

Almost surely, 2^426013965 is an apocalyptic number.

426013965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

426013965 is an abundant number, since it is smaller than the sum of its proper divisors (452155635).

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

426013965 is a wasteful number, since it uses less digits than its factorization.

426013965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 426013965 is about 20640.1057410082. The cubic root of 426013965 is about 752.4447423212. Note that the first 3 decimals are identical.

It can be divided in two parts, 4260 and 13965, that added together give a square (18225 = 135²).

The spelling of 426013965 in words is "four hundred twenty-six million, thirteen thousand, nine hundred sixty-five".