1314803400 has 48 divisors (see below), whose sum is σ = 4075892400. Its totient is φ = 350614080.

The previous prime is 1314803393. The next prime is 1314803407. The reversal of 1314803400 is 43084131.

1314803400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1314803393) and next prime (1314803407).

It is a super-3 number, since 3×1314803400³ (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1314803407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1095070 + ... + 1096269.

It is an arithmetic number, because the mean of its divisors is an integer number (84914425).

Almost surely, 2^1314803400 is an apocalyptic number.

1314803400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314803400 is an abundant number, since it is smaller than the sum of its proper divisors (2761089000).

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

1314803400 is a wasteful number, since it uses less digits than its factorization.

1314803400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191358 (or 2191349 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1314803400 is about 36260.2178702776. The cubic root of 1314803400 is about 1095.5199049006.

Adding to 1314803400 its reverse (43084131), we get a palindrome (1357887531).

The spelling of 1314803400 in words is "one billion, three hundred fourteen million, eight hundred three thousand, four hundred".