1409384448 has 224 divisors, whose sum is σ = 4297785300. Its totient is φ = 461832192.

The previous prime is 1409384437. The next prime is 1409384453. The reversal of 1409384448 is 8444839041.

1409384448 is a `hidden beast` number, since 1 + 40 + 93 + 84 + 448 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23887843 + ... + 23887901.

Almost surely, 2^1409384448 is an apocalyptic number.

1409384448 is a gapful number since it is divisible by the number (18) 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 1409384448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148892650).

1409384448 is an abundant number, since it is smaller than the sum of its proper divisors (2888400852).

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

1409384448 is an frugal number, since it uses more digits than its factorization.

1409384448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 1409384448 is about 37541.7693775879. The cubic root of 1409384448 is about 1121.1829677715.

The spelling of 1409384448 in words is "one billion, four hundred nine million, three hundred eighty-four thousand, four hundred forty-eight".