1404074672 has 160 divisors (see below), whose sum is σ = 3779758080. Its totient is φ = 487388160.

The previous prime is 1404074641. The next prime is 1404074687. The reversal of 1404074672 is 2764704041.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462953 + ... + 465975.

It is an arithmetic number, because the mean of its divisors is an integer number (23623488).

Almost surely, 2^1404074672 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 1404074672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889879040).

1404074672 is an abundant number, since it is smaller than the sum of its proper divisors (2375683408).

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

1404074672 is a wasteful number, since it uses less digits than its factorization.

1404074672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 1404074672 is about 37470.9844012671. The cubic root of 1404074672 is about 1119.7731981230.

The spelling of 1404074672 in words is "one billion, four hundred four million, seventy-four thousand, six hundred seventy-two".