426040400 has 60 divisors (see below), whose sum is σ = 1083788892. Its totient is φ = 160389120.

The previous prime is 426040387. The next prime is 426040403. The reversal of 426040400 is 4040624.

It can be written as a sum of positive squares in 6 ways, for example, as 5626384 + 420414016 = 2372^2 + 20504^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426040403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 24527 + ... + 38126.

Almost surely, 2^426040400 is an apocalyptic number.

426040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426040400 is an abundant number, since it is smaller than the sum of its proper divisors (657748492).

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

426040400 is a wasteful number, since it uses less digits than its factorization.

426040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62688 (or 62677 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 426040400 is about 20640.7461105455. The cubic root of 426040400 is about 752.4603055554.

The spelling of 426040400 in words is "four hundred twenty-six million, forty thousand, four hundred".