426668040 has 192 divisors, whose sum is σ = 1511913600. Its totient is φ = 107006976.

The previous prime is 426668027. The next prime is 426668069. The reversal of 426668040 is 40866624.

It is a happy number.

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 = 426667986 and 426668004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311437 + ... + 312803.

It is an arithmetic number, because the mean of its divisors is an integer number (7874550).

Almost surely, 2^426668040 is an apocalyptic number.

426668040 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 426668040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755956800).

426668040 is an abundant number, since it is smaller than the sum of its proper divisors (1085245560).

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

426668040 is a wasteful number, since it uses less digits than its factorization.

426668040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 426668040 is about 20655.9444228532. The cubic root of 426668040 is about 752.8296308265.

The spelling of 426668040 in words is "four hundred twenty-six million, six hundred sixty-eight thousand, forty".