1314406700 has 144 divisors (see below), whose sum is σ = 3149798400. Its totient is φ = 474278400.

The previous prime is 1314406649. The next prime is 1314406703. The reversal of 1314406700 is 76044131.

It is a self number, because there is not a number n which added to its sum of digits gives 1314406700.

It is not an unprimeable number, because it can be changed into a prime (1314406703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3661121 + ... + 3661479.

It is an arithmetic number, because the mean of its divisors is an integer number (21873600).

Almost surely, 2^1314406700 is an apocalyptic number.

1314406700 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 1314406700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574899200).

1314406700 is an abundant number, since it is smaller than the sum of its proper divisors (1835391700).

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

1314406700 is a wasteful number, since it uses less digits than its factorization.

1314406700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 1314406700 is about 36254.7472753569. The cubic root of 1314406700 is about 1095.4097144184.

The spelling of 1314406700 in words is "one billion, three hundred fourteen million, four hundred six thousand, seven hundred".