514004400 has 480 divisors, whose sum is σ = 2255966720. Its totient is φ = 108241920.

The previous prime is 514004383. The next prime is 514004411. The reversal of 514004400 is 4400415.

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

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, 982539 + ... + 983061.

Almost surely, 2^514004400 is an apocalyptic number.

514004400 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 514004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127983360).

514004400 is an abundant number, since it is smaller than the sum of its proper divisors (1741962320).

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

514004400 is a wasteful number, since it uses less digits than its factorization.

514004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 514004400 is about 22671.6651351417. The cubic root of 514004400 is about 801.0425989773.

Adding to 514004400 its reverse (4400415), we get a palindrome (518404815).

The spelling of 514004400 in words is "five hundred fourteen million, four thousand, four hundred".