426646440 has 160 divisors (see below), whose sum is σ = 1564500960. Its totient is φ = 103420800.

The previous prime is 426646439. The next prime is 426646453. The reversal of 426646440 is 44646624.

It is a happy number.

426646440 is a `hidden beast` number, since 4 + 2 + 6 + 6 + 4 + 644 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 426646395 and 426646404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29655 + ... + 41625.

It is an arithmetic number, because the mean of its divisors is an integer number (9778131).

Almost surely, 2^426646440 is an apocalyptic number.

426646440 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 426646440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782250480).

426646440 is an abundant number, since it is smaller than the sum of its proper divisors (1137854520).

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

426646440 is a wasteful number, since it uses less digits than its factorization.

426646440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12005 (or 11992 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 426646440 is about 20655.4215643254. The cubic root of 426646440 is about 752.8169266530.

The spelling of 426646440 in words is "four hundred twenty-six million, six hundred forty-six thousand, four hundred forty".