514485400 has 96 divisors (see below), whose sum is σ = 1405378800. Its totient is φ = 172684800.

The previous prime is 514485379. The next prime is 514485403. The reversal of 514485400 is 4584415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514485403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19606 + ... + 37594.

Almost surely, 2^514485400 is an apocalyptic number.

514485400 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 514485400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702689400).

514485400 is an abundant number, since it is smaller than the sum of its proper divisors (890893400).

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

514485400 is a wasteful number, since it uses less digits than its factorization.

514485400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18029 (or 18020 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The square root of 514485400 is about 22682.2706094430. The cubic root of 514485400 is about 801.2923902018.

The spelling of 514485400 in words is "five hundred fourteen million, four hundred eighty-five thousand, four hundred".