2400431432 has 128 divisors (see below), whose sum is σ = 5618073600. Its totient is φ = 938995200.

The previous prime is 2400431431. The next prime is 2400431437. The reversal of 2400431432 is 2341340042.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 2400431398 and 2400431407.

It is not an unprimeable number, because it can be changed into a prime (2400431431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3153932 + ... + 3154692.

It is an arithmetic number, because the mean of its divisors is an integer number (43891200).

Almost surely, 2^2400431432 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 2400431432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809036800).

2400431432 is an abundant number, since it is smaller than the sum of its proper divisors (3217642168).

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

2400431432 is a wasteful number, since it uses less digits than its factorization.

2400431432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2400431432 is about 48994.1979422054. The cubic root of 2400431432 is about 1338.9461216899.

Adding to 2400431432 its reverse (2341340042), we get a palindrome (4741771474).

The spelling of 2400431432 in words is "two billion, four hundred million, four hundred thirty-one thousand, four hundred thirty-two".