1300400431 has 24 divisors (see below), whose sum is σ = 1562343552. Its totient is φ = 1076697600.

The previous prime is 1300400417. The next prime is 1300400459. The reversal of 1300400431 is 1340040031.

It is not a de Polignac number, because 1300400431 - 2⁵ = 1300400399 is a prime.

It is a super-2 number, since 2×1300400431² = 3382082561889971522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300400401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53571 + ... + 73963.

It is an arithmetic number, because the mean of its divisors is an integer number (65097648).

Almost surely, 2^1300400431 is an apocalyptic number.

1300400431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1300400431 is a deficient number, since it is larger than the sum of its proper divisors (261943121).

1300400431 is a wasteful number, since it uses less digits than its factorization.

1300400431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20463 (or 20452 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1300400431 is about 36061.0653059501. The cubic root of 1300400431 is about 1091.5049299020.

Adding to 1300400431 its reverse (1340040031), we get a palindrome (2640440462).

The spelling of 1300400431 in words is "one billion, three hundred million, four hundred thousand, four hundred thirty-one".