1404189072 has 480 divisors, whose sum is σ = 5042593920. Its totient is φ = 358318080.

The previous prime is 1404189071. The next prime is 1404189079. The reversal of 1404189072 is 2709814041.

1404189072 is a `hidden beast` number, since 1 + 404 + 189 + 0 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404189071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14476128 + ... + 14476224.

It is an arithmetic number, because the mean of its divisors is an integer number (10505404).

Almost surely, 2^1404189072 is an apocalyptic number.

1404189072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404189072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521296960).

1404189072 is an abundant number, since it is smaller than the sum of its proper divisors (3638404848).

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

1404189072 is a wasteful number, since it uses less digits than its factorization.

1404189072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1404189072 is about 37472.5108846472. The cubic root of 1404189072 is about 1119.8036092726.

The spelling of 1404189072 in words is "one billion, four hundred four million, one hundred eighty-nine thousand, seventy-two".