514452300 has 144 divisors (see below), whose sum is σ = 1588960800. Its totient is φ = 128061440.

The previous prime is 514452299. The next prime is 514452313. The reversal of 514452300 is 3254415.

514452300 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×514452300² = 529322337950580000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 759562 + ... + 760238.

It is an arithmetic number, because the mean of its divisors is an integer number (11034450).

Almost surely, 2^514452300 is an apocalyptic number.

514452300 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 514452300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794480400).

514452300 is an abundant number, since it is smaller than the sum of its proper divisors (1074508500).

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

514452300 is a wasteful number, since it uses less digits than its factorization.

514452300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 514452300 is about 22681.5409529423. The cubic root of 514452300 is about 801.2752058160.

The spelling of 514452300 in words is "five hundred fourteen million, four hundred fifty-two thousand, three hundred".