514340400 has 120 divisors (see below), whose sum is σ = 1883006464. Its totient is φ = 117561600.

The previous prime is 514340399. The next prime is 514340413. The reversal of 514340400 is 4043415.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 22216 + ... + 39015.

Almost surely, 2^514340400 is an apocalyptic number.

514340400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

514340400 is an abundant number, since it is smaller than the sum of its proper divisors (1368666064).

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

514340400 is a wasteful number, since it uses less digits than its factorization.

514340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61259 (or 61248 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 514340400 is about 22679.0740551725. The cubic root of 514340400 is about 801.2171057114.

Adding to 514340400 its reverse (4043415), we get a palindrome (518383815).

The spelling of 514340400 in words is "five hundred fourteen million, three hundred forty thousand, four hundred".