514130400 has 324 divisors, whose sum is σ = 2092662936. Its totient is φ = 116352000.

The previous prime is 514130389. The next prime is 514130401. The reversal of 514130400 is 4031415.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514130401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5090350 + ... + 5090450.

Almost surely, 2^514130400 is an apocalyptic number.

514130400 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 514130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046331468).

514130400 is an abundant number, since it is smaller than the sum of its proper divisors (1578532536).

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

514130400 is a wasteful number, since it uses less digits than its factorization.

514130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 514130400 is about 22674.4437638501. The cubic root of 514130400 is about 801.1080479121.

Adding to 514130400 its reverse (4031415), we get a palindrome (518161815).

The spelling of 514130400 in words is "five hundred fourteen million, one hundred thirty thousand, four hundred".