426431040 has 448 divisors, whose sum is σ = 1685422080. Its totient is φ = 89210880.

The previous prime is 426431029. The next prime is 426431087. The reversal of 426431040 is 40134624.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 426431040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4791316 + ... + 4791404.

Almost surely, 2^426431040 is an apocalyptic number.

426431040 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 426431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842711040).

426431040 is an abundant number, since it is smaller than the sum of its proper divisors (1258991040).

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

426431040 is a wasteful number, since it uses less digits than its factorization.

426431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 426431040 is about 20650.2067786257. The cubic root of 426431040 is about 752.6902143469.

Adding to 426431040 its reverse (40134624), we get a palindrome (466565664).

The spelling of 426431040 in words is "four hundred twenty-six million, four hundred thirty-one thousand, forty".