426740400 has 150 divisors (see below), whose sum is σ = 1531653332. Its totient is φ = 113788800.

The previous prime is 426740359. The next prime is 426740417. The reversal of 426740400 is 4047624.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 25815 + ... + 38985.

Almost surely, 2^426740400 is an apocalyptic number.

426740400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765826666).

426740400 is an abundant number, since it is smaller than the sum of its proper divisors (1104912932).

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

426740400 is a wasteful number, since it uses less digits than its factorization.

426740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13201 (or 13181 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 426740400 is about 20657.6959024960. The cubic root of 426740400 is about 752.8721866840.

The spelling of 426740400 in words is "four hundred twenty-six million, seven hundred forty thousand, four hundred".