426925200 has 120 divisors (see below), whose sum is σ = 1472836288. Its totient is φ = 105085440.

The previous prime is 426925189. The next prime is 426925217. The reversal of 426925200 is 2529624.

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 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, 1917 + ... + 29283.

Almost surely, 2^426925200 is an apocalyptic number.

426925200 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 426925200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736418144).

426925200 is an abundant number, since it is smaller than the sum of its proper divisors (1045911088).

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

426925200 is a wasteful number, since it uses less digits than its factorization.

426925200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27401 (or 27390 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 426925200 is about 20662.1683276465. The cubic root of 426925200 is about 752.9808481414.

The spelling of 426925200 in words is "four hundred twenty-six million, nine hundred twenty-five thousand, two hundred".