426010752 has 160 divisors (see below), whose sum is σ = 1342933020. Its totient is φ = 133595136.

The previous prime is 426010733. The next prime is 426010777. The reversal of 426010752 is 257010624.

426010752 is a `hidden beast` number, since 4 + 2 + 601 + 0 + 7 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 342398016 + 83612736 = 18504^2 + 9144^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175048 + ... + 177464.

Almost surely, 2^426010752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426010752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671466510).

426010752 is an abundant number, since it is smaller than the sum of its proper divisors (916922268).

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

426010752 is a wasteful number, since it uses less digits than its factorization.

426010752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 426010752 is about 20640.0279069579. The cubic root of 426010752 is about 752.4428506688.

The spelling of 426010752 in words is "four hundred twenty-six million, ten thousand, seven hundred fifty-two".