1405442232 has 128 divisors (see below), whose sum is σ = 4126464000. Its totient is φ = 442316160.

The previous prime is 1405442161. The next prime is 1405442243. The reversal of 1405442232 is 2322445041.

It is a super-3 number, since 3×1405442232³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1405442196 and 1405442205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390682 + ... + 394262.

It is an arithmetic number, because the mean of its divisors is an integer number (32238000).

Almost surely, 2^1405442232 is an apocalyptic number.

1405442232 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 1405442232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063232000).

1405442232 is an abundant number, since it is smaller than the sum of its proper divisors (2721021768).

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

1405442232 is a wasteful number, since it uses less digits than its factorization.

1405442232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3698 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1405442232 is about 37489.2282129147. The cubic root of 1405442232 is about 1120.1366308655.

Adding to 1405442232 its reverse (2322445041), we get a palindrome (3727887273).

The spelling of 1405442232 in words is "one billion, four hundred five million, four hundred forty-two thousand, two hundred thirty-two".