1314434400 has 72 divisors (see below), whose sum is σ = 4278491784. Its totient is φ = 350515200.

The previous prime is 1314434399. The next prime is 1314434447. The reversal of 1314434400 is 44344131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271441 + ... + 276240.

It is an arithmetic number, because the mean of its divisors is an integer number (59423497).

Almost surely, 2^1314434400 is an apocalyptic number.

1314434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314434400 is an abundant number, since it is smaller than the sum of its proper divisors (2964057384).

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

1314434400 is a wasteful number, since it uses less digits than its factorization.

1314434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547704 (or 547691 counting only the distinct ones).

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

The square root of 1314434400 is about 36255.1292922808. The cubic root of 1314434400 is about 1095.4174093062.

Adding to 1314434400 its reverse (44344131), we get a palindrome (1358778531).

The spelling of 1314434400 in words is "one billion, three hundred fourteen million, four hundred thirty-four thousand, four hundred".