426960240 has 160 divisors (see below), whose sum is σ = 1532282880. Its totient is φ = 96325632.

The previous prime is 426960239. The next prime is 426960257. The reversal of 426960240 is 42069624.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131112 + ... + 134328.

It is an arithmetic number, because the mean of its divisors is an integer number (9576768).

Almost surely, 2^426960240 is an apocalyptic number.

426960240 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 426960240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766141440).

426960240 is an abundant number, since it is smaller than the sum of its proper divisors (1105322640).

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

426960240 is a wasteful number, since it uses less digits than its factorization.

426960240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 426960240 is about 20663.0162367453. The cubic root of 426960240 is about 753.0014479460.

The spelling of 426960240 in words is "four hundred twenty-six million, nine hundred sixty thousand, two hundred forty".