426608640 has 192 divisors, whose sum is σ = 1517443200. Its totient is φ = 113688576.

The previous prime is 426608617. The next prime is 426608641. The reversal of 426608640 is 46806624.

It is a happy number.

426608640 is a `hidden beast` number, since 4 + 2 + 6 + 6 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 426608595 and 426608604.

It is not an unprimeable number, because it can be changed into a prime (426608641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275709 + ... + 277251.

It is an arithmetic number, because the mean of its divisors is an integer number (7903350).

Almost surely, 2^426608640 is an apocalyptic number.

426608640 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 426608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758721600).

426608640 is an abundant number, since it is smaller than the sum of its proper divisors (1090834560).

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

426608640 is a wasteful number, since it uses less digits than its factorization.

426608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1553 counting only the distinct ones).

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

The square root of 426608640 is about 20654.5065300530. The cubic root of 426608640 is about 752.7946933176.

The spelling of 426608640 in words is "four hundred twenty-six million, six hundred eight thousand, six hundred forty".