1404233120 has 48 divisors (see below), whose sum is σ = 3338691048. Its totient is φ = 558105600.

The previous prime is 1404233113. The next prime is 1404233153. The reversal of 1404233120 is 213324041.

It can be written as a sum of positive squares in 4 ways, for example, as 1291108624 + 113124496 = 35932^2 + 10636^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1404233092 and 1404233101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2831 + ... + 53070.

Almost surely, 2^1404233120 is an apocalyptic number.

1404233120 is a gapful number since it is divisible by the number (10) 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 1404233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669345524).

1404233120 is an abundant number, since it is smaller than the sum of its proper divisors (1934457928).

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

1404233120 is a wasteful number, since it uses less digits than its factorization.

1404233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56073 (or 56065 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1404233120 is about 37473.0986175416. The cubic root of 1404233120 is about 1119.8153181881.

Adding to 1404233120 its reverse (213324041), we get a palindrome (1617557161).

The spelling of 1404233120 in words is "one billion, four hundred four million, two hundred thirty-three thousand, one hundred twenty".