426396960 has 288 divisors, whose sum is σ = 1647801792. Its totient is φ = 103265280.

The previous prime is 426396959. The next prime is 426396967. The reversal of 426396960 is 69693624.

426396960 is a `hidden beast` number, since 4 + 2 + 639 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426396967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427182 + ... + 428178.

It is an arithmetic number, because the mean of its divisors is an integer number (5721534).

Almost surely, 2^426396960 is an apocalyptic number.

426396960 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 426396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823900896).

426396960 is an abundant number, since it is smaller than the sum of its proper divisors (1221404832).

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

426396960 is a wasteful number, since it uses less digits than its factorization.

426396960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 426396960 is about 20649.3815888031. The cubic root of 426396960 is about 752.6701623624.

It can be divided in two parts, 426 and 396960, that added together give a triangular number (397386 = T₈₉₁).

The spelling of 426396960 in words is "four hundred twenty-six million, three hundred ninety-six thousand, nine hundred sixty".