1314503400 has 144 divisors (see below), whose sum is σ = 4740366240. Its totient is φ = 300451200.

The previous prime is 1314503371. The next prime is 1314503413. The reversal of 1314503400 is 43054131.

It is a super-2 number, since 2×1314503400² = 3455838377223120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7045 + ... + 51755.

It is an arithmetic number, because the mean of its divisors is an integer number (32919210).

Almost surely, 2^1314503400 is an apocalyptic number.

1314503400 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 1314503400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370183120).

1314503400 is an abundant number, since it is smaller than the sum of its proper divisors (3425862840).

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

1314503400 is a wasteful number, since it uses less digits than its factorization.

1314503400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44744 (or 44728 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1314503400 is about 36256.0808692832. The cubic root of 1314503400 is about 1095.4365766070.

Adding to 1314503400 its reverse (43054131), we get a palindrome (1357557531).

The spelling of 1314503400 in words is "one billion, three hundred fourteen million, five hundred three thousand, four hundred".