426284400 has 120 divisors (see below), whose sum is σ = 1402583344. Its totient is φ = 110592000.

The previous prime is 426284389. The next prime is 426284473. The reversal of 426284400 is 4482624.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 39600 + ... + 49200.

Almost surely, 2^426284400 is an apocalyptic number.

426284400 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 426284400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701291672).

426284400 is an abundant number, since it is smaller than the sum of its proper divisors (976298944).

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

426284400 is a wasteful number, since it uses less digits than its factorization.

426284400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9659 (or 9648 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 426284400 is about 20646.6559035598. The cubic root of 426284400 is about 752.6039267358.

The spelling of 426284400 in words is "four hundred twenty-six million, two hundred eighty-four thousand, four hundred".