1409604984 has 128 divisors (see below), whose sum is σ = 4233504000. Its totient is φ = 433060992.

The previous prime is 1409604983. The next prime is 1409605007. The reversal of 1409604984 is 4894069041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1409604983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147207 + ... + 156489.

It is an arithmetic number, because the mean of its divisors is an integer number (33074250).

Almost surely, 2^1409604984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1409604984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116752000).

1409604984 is an abundant number, since it is smaller than the sum of its proper divisors (2823899016).

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

1409604984 is a wasteful number, since it uses less digits than its factorization.

1409604984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9354 (or 9344 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1409604984 is about 37544.7064710859. The cubic root of 1409604984 is about 1121.2414444376.

The spelling of 1409604984 in words is "one billion, four hundred nine million, six hundred four thousand, nine hundred eighty-four".