1314415200 has 216 divisors, whose sum is σ = 4977384552. Its totient is φ = 300410880.

The previous prime is 1314415199. The next prime is 1314415217. The reversal of 1314415200 is 25144131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112012 + ... + 123188.

It is an arithmetic number, because the mean of its divisors is an integer number (23043447).

Almost surely, 2^1314415200 is an apocalyptic number.

1314415200 is a gapful number since it is divisible by the number (10) 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 1314415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488692276).

1314415200 is an abundant number, since it is smaller than the sum of its proper divisors (3662969352).

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

1314415200 is a wasteful number, since it uses less digits than its factorization.

1314415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11214 (or 11194 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1314415200 is about 36254.8645011949. The cubic root of 1314415200 is about 1095.4120756771.

Adding to 1314415200 its reverse (25144131), we get a palindrome (1339559331).

The spelling of 1314415200 in words is "one billion, three hundred fourteen million, four hundred fifteen thousand, two hundred".