426980160 has 504 divisors, whose sum is σ = 1703039520. Its totient is φ = 101523456.

The previous prime is 426980149. The next prime is 426980173. The reversal of 426980160 is 61089624.

426980160 = 52³ + 53³ + ... + 203³.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22472631 + ... + 22472649.

Almost surely, 2^426980160 is an apocalyptic number.

426980160 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 426980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851519760).

426980160 is an abundant number, since it is smaller than the sum of its proper divisors (1276059360).

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

426980160 is a wasteful number, since it uses less digits than its factorization.

426980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 426980160 is about 20663.4982517482. The cubic root of 426980160 is about 753.0131582914.

Adding to 426980160 its product of nonzero digits (20736), we get a square (427000896 = 20664²).

The spelling of 426980160 in words is "four hundred twenty-six million, nine hundred eighty thousand, one hundred sixty".