1431413400 has 96 divisors (see below), whose sum is σ = 4521206160. Its totient is φ = 374499840.

The previous prime is 1431413377. The next prime is 1431413429. The reversal of 1431413400 is 43141341.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9294 + ... + 54306.

Almost surely, 2^1431413400 is an apocalyptic number.

1431413400 is a gapful number since it is divisible by the number (10) 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 1431413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260603080).

1431413400 is an abundant number, since it is smaller than the sum of its proper divisors (3089792760).

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

1431413400 is a wasteful number, since it uses less digits than its factorization.

1431413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45085 (or 45076 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1431413400 is about 37834.0243696068. The cubic root of 1431413400 is about 1126.9942307402.

Adding to 1431413400 its reverse (43141341), we get a palindrome (1474554741).

The spelling of 1431413400 in words is "one billion, four hundred thirty-one million, four hundred thirteen thousand, four hundred".