1413780800 has 42 divisors (see below), whose sum is σ = 3478788318. Its totient is φ = 565511680.

The previous prime is 1413780799. The next prime is 1413780803. The reversal of 1413780800 is 80873141.

It can be written as a sum of positive squares in 3 ways, for example, as 270799936 + 1142980864 = 16456^2 + 33808^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413780803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 440207 + ... + 443406.

Almost surely, 2^1413780800 is an apocalyptic number.

1413780800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1413780800 is an abundant number, since it is smaller than the sum of its proper divisors (2065007518).

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

1413780800 is an equidigital number, since it uses as much as digits as its factorization.

1413780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883635 (or 883620 counting only the distinct ones).

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

The square root of 1413780800 is about 37600.2765947273. The cubic root of 1413780800 is about 1122.3475420542.

The spelling of 1413780800 in words is "one billion, four hundred thirteen million, seven hundred eighty thousand, eight hundred".