514121400 has 288 divisors, whose sum is σ = 1884879360. Its totient is φ = 124830720.

The previous prime is 514121393. The next prime is 514121441. The reversal of 514121400 is 4121415.

514121400 is a `hidden beast` number, since 514 + 12 + 140 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 2971714 + ... + 2971886.

It is an arithmetic number, because the mean of its divisors is an integer number (6544720).

Almost surely, 2^514121400 is an apocalyptic number.

514121400 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 514121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942439680).

514121400 is an abundant number, since it is smaller than the sum of its proper divisors (1370757960).

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

514121400 is a wasteful number, since it uses less digits than its factorization.

514121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 514121400 is about 22674.2453016633. The cubic root of 514121400 is about 801.1033733428.

Adding to 514121400 its reverse (4121415), we get a palindrome (518242815).

The spelling of 514121400 in words is "five hundred fourteen million, one hundred twenty-one thousand, four hundred".