1404612768 has 192 divisors, whose sum is σ = 4124034432. Its totient is φ = 415825920.

The previous prime is 1404612763. The next prime is 1404612787. The reversal of 1404612768 is 8672164041.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1404612763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4963155 + ... + 4963437.

It is an arithmetic number, because the mean of its divisors is an integer number (21479346).

Almost surely, 2^1404612768 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 1404612768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062017216).

1404612768 is an abundant number, since it is smaller than the sum of its proper divisors (2719421664).

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

1404612768 is a wasteful number, since it uses less digits than its factorization.

1404612768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1404612768 is about 37478.1638824529. The cubic root of 1404612768 is about 1119.9162267273.

The spelling of 1404612768 in words is "one billion, four hundred four million, six hundred twelve thousand, seven hundred sixty-eight".