1405413432 has 144 divisors (see below), whose sum is σ = 4056507000. Its totient is φ = 439489152.

The previous prime is 1405413403. The next prime is 1405413433. The reversal of 1405413432 is 2343145041.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1405413396 and 1405413405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405413433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3612694 + ... + 3613082.

Almost surely, 2^1405413432 is an apocalyptic number.

1405413432 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 1405413432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028253500).

1405413432 is an abundant number, since it is smaller than the sum of its proper divisors (2651093568).

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

1405413432 is a wasteful number, since it uses less digits than its factorization.

1405413432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1405413432 is about 37488.8441006121. The cubic root of 1405413432 is about 1120.1289796189.

Adding to 1405413432 its reverse (2343145041), we get a palindrome (3748558473).

The spelling of 1405413432 in words is "one billion, four hundred five million, four hundred thirteen thousand, four hundred thirty-two".