426885120 has 240 divisors, whose sum is σ = 1525631520. Its totient is φ = 113246208.

The previous prime is 426885091. The next prime is 426885139. The reversal of 426885120 is 21588624.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×426885120³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211744 + ... + 2211936.

It is an arithmetic number, because the mean of its divisors is an integer number (6356798).

Almost surely, 2^426885120 is an apocalyptic number.

426885120 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 426885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762815760).

426885120 is an abundant number, since it is smaller than the sum of its proper divisors (1098746400).

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

426885120 is an equidigital number, since it uses as much as digits as its factorization.

426885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 426885120 is about 20661.1984163552. The cubic root of 426885120 is about 752.9572839691.

The spelling of 426885120 in words is "four hundred twenty-six million, eight hundred eighty-five thousand, one hundred twenty".