514361400 has 384 divisors, whose sum is σ = 1949875200. Its totient is φ = 109670400.

The previous prime is 514361363. The next prime is 514361411. The reversal of 514361400 is 4163415.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4993749 + ... + 4993851.

It is an arithmetic number, because the mean of its divisors is an integer number (5077800).

Almost surely, 2^514361400 is an apocalyptic number.

514361400 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 514361400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974937600).

514361400 is an abundant number, since it is smaller than the sum of its proper divisors (1435513800).

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

514361400 is a wasteful number, since it uses less digits than its factorization.

514361400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 514361400 is about 22679.5370323117. The cubic root of 514361400 is about 801.2280098586.

The spelling of 514361400 in words is "five hundred fourteen million, three hundred sixty-one thousand, four hundred".