1002400431 has 16 divisors (see below), whose sum is σ = 1370331648. Its totient is φ = 651396800.

The previous prime is 1002400417. The next prime is 1002400471. The reversal of 1002400431 is 1340042001.

It is a cyclic number.

It is not a de Polignac number, because 1002400431 - 2⁹ = 1002399919 is a prime.

It is a super-2 number, since 2×1002400431² = 2009613248137971522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1002400431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002400471) 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, 172666 + ... + 178376.

It is an arithmetic number, because the mean of its divisors is an integer number (85645728).

Almost surely, 2^1002400431 is an apocalyptic number.

1002400431 is a deficient number, since it is larger than the sum of its proper divisors (367931217).

1002400431 is a wasteful number, since it uses less digits than its factorization.

1002400431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7182.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1002400431 is about 31660.7079990325. The cubic root of 1002400431 is about 1000.7995042892.

Adding to 1002400431 its reverse (1340042001), we get a palindrome (2342442432).

The spelling of 1002400431 in words is "one billion, two million, four hundred thousand, four hundred thirty-one".