1409860080 has 200 divisors, whose sum is σ = 4949339472. Its totient is φ = 371920896.

The previous prime is 1409860079. The next prime is 1409860087. The reversal of 1409860080 is 800689041.

It is a happy number.

1409860080 is a `hidden beast` number, since 1 + 40 + 9 + 8 + 600 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1409860087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 627439 + ... + 629681.

Almost surely, 2^1409860080 is an apocalyptic number.

1409860080 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 1409860080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474669736).

1409860080 is an abundant number, since it is smaller than the sum of its proper divisors (3539479392).

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

1409860080 is a wasteful number, since it uses less digits than its factorization.

1409860080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1409860080 is about 37548.1035473165. The cubic root of 1409860080 is about 1121.3090773226.

The spelling of 1409860080 in words is "one billion, four hundred nine million, eight hundred sixty thousand, eighty".