1409342976 has 200 divisors, whose sum is σ = 4456188000. Its totient is φ = 441925632.

The previous prime is 1409342941. The next prime is 1409343011. The reversal of 1409342976 is 6792439041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1409342941) and next prime (1409343011).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 704025 + ... + 706023.

It is an arithmetic number, because the mean of its divisors is an integer number (22280940).

Almost surely, 2^1409342976 is an apocalyptic number.

1409342976 is a gapful number since it is divisible by the number (16) 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 1409342976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228094000).

1409342976 is an abundant number, since it is smaller than the sum of its proper divisors (3046845024).

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

1409342976 is an equidigital number, since it uses as much as digits as its factorization.

1409342976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1409342976 is about 37541.2170287539. The cubic root of 1409342976 is about 1121.1719704986.

The spelling of 1409342976 in words is "one billion, four hundred nine million, three hundred forty-two thousand, nine hundred seventy-six".