1404094464 has 144 divisors (see below), whose sum is σ = 4294786860. Its totient is φ = 440401920.

The previous prime is 1404094453. The next prime is 1404094477. The reversal of 1404094464 is 4644904041.

It can be written as a sum of positive squares in 2 ways, for example, as 1282212864 + 121881600 = 35808^2 + 11040^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 311104 + ... + 315584.

Almost surely, 2^1404094464 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 1404094464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147393430).

1404094464 is an abundant number, since it is smaller than the sum of its proper divisors (2890692396).

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

1404094464 is a wasteful number, since it uses less digits than its factorization.

1404094464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4526 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1404094464 is about 37471.2484980151. The cubic root of 1404094464 is about 1119.7784595827.

The spelling of 1404094464 in words is "one billion, four hundred four million, ninety-four thousand, four hundred sixty-four".