1413870800 has 60 divisors (see below), whose sum is σ = 3401305740. Its totient is φ = 564802560.

The previous prime is 1413870793. The next prime is 1413870811. The reversal of 1413870800 is 80783141.

It can be written as a sum of positive squares in 6 ways, for example, as 128504896 + 1285365904 = 11336^2 + 35852^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379346 + ... + 383054.

It is an arithmetic number, because the mean of its divisors is an integer number (56688429).

Almost surely, 2^1413870800 is an apocalyptic number.

1413870800 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 1413870800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700652870).

1413870800 is an abundant number, since it is smaller than the sum of its proper divisors (1987434940).

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

1413870800 is a wasteful number, since it uses less digits than its factorization.

1413870800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4680 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 1413870800 is about 37601.4733753878. The cubic root of 1413870800 is about 1122.3713574235.

The spelling of 1413870800 in words is "one billion, four hundred thirteen million, eight hundred seventy thousand, eight hundred".