1404097968 has 240 divisors, whose sum is σ = 4560184320. Its totient is φ = 364455936.

The previous prime is 1404097921. The next prime is 1404097979. The reversal of 1404097968 is 8697904041.

It is a super-2 number, since 2×1404097968² = 3942982207483458048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4485780 + ... + 4486092.

It is an arithmetic number, because the mean of its divisors is an integer number (19000768).

Almost surely, 2^1404097968 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 1404097968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280092160).

1404097968 is an abundant number, since it is smaller than the sum of its proper divisors (3156086352).

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

1404097968 is a wasteful number, since it uses less digits than its factorization.

1404097968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 1404097968 is about 37471.2952538340. The cubic root of 1404097968 is about 1119.7793910728.

The spelling of 1404097968 in words is "one billion, four hundred four million, ninety-seven thousand, nine hundred sixty-eight".