1409904384 has 144 divisors (see below), whose sum is σ = 4541015808. Its totient is φ = 379109376.

The previous prime is 1409904361. The next prime is 1409904493. The reversal of 1409904384 is 4834099041.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 83679 + ... + 99105.

It is an arithmetic number, because the mean of its divisors is an integer number (31534832).

Almost surely, 2^1409904384 is an apocalyptic number.

1409904384 is a gapful number since it is divisible by the number (14) 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 1409904384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270507904).

1409904384 is an abundant number, since it is smaller than the sum of its proper divisors (3131111424).

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

1409904384 is a wasteful number, since it uses less digits than its factorization.

1409904384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15470 (or 15456 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1409904384 is about 37548.6935058998. The cubic root of 1409904384 is about 1121.3208226860.

The spelling of 1409904384 in words is "one billion, four hundred nine million, nine hundred four thousand, three hundred eighty-four".