514313400 has 96 divisors (see below), whose sum is σ = 1610990640. Its totient is φ = 135720960.

The previous prime is 514313383. The next prime is 514313447. The reversal of 514313400 is 4313415.

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 23 ways as a sum of consecutive naturals, for example, 53782 + ... + 62618.

Almost surely, 2^514313400 is an apocalyptic number.

514313400 is a gapful number since it is divisible by the number (50) 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 514313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805495320).

514313400 is an abundant number, since it is smaller than the sum of its proper divisors (1096677240).

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

514313400 is a wasteful number, since it uses less digits than its factorization.

514313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8953 (or 8944 counting only the distinct ones).

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

The square root of 514313400 is about 22678.4787849626. The cubic root of 514313400 is about 801.2030856575.

Adding to 514313400 its reverse (4313415), we get a palindrome (518626815).

The spelling of 514313400 in words is "five hundred fourteen million, three hundred thirteen thousand, four hundred".