426929440 has 96 divisors (see below), whose sum is σ = 1165933440. Its totient is φ = 144697344.

The previous prime is 426929429. The next prime is 426929443. The reversal of 426929440 is 44929624.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 426929393 and 426929402.

It is not an unprimeable number, because it can be changed into a prime (426929443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97539 + ... + 101821.

It is an arithmetic number, because the mean of its divisors is an integer number (12145140).

Almost surely, 2^426929440 is an apocalyptic number.

426929440 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 426929440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582966720).

426929440 is an abundant number, since it is smaller than the sum of its proper divisors (739004000).

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

426929440 is a wasteful number, since it uses less digits than its factorization.

426929440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4394 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 426929440 is about 20662.2709303697. The cubic root of 426929440 is about 752.9833408718.

The spelling of 426929440 in words is "four hundred twenty-six million, nine hundred twenty-nine thousand, four hundred forty".