1406226432 has 104 divisors (see below), whose sum is σ = 4038359584. Its totient is φ = 432635904.

The previous prime is 1406226427. The next prime is 1406226457. The reversal of 1406226432 is 2346226041.

It is a tau number, because it is divible by the number of its divisors (104).

It is a self number, because there is not a number n which added to its sum of digits gives 1406226432.

It is a congruent number.

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, 155343 + ... + 164145.

Almost surely, 2^1406226432 is an apocalyptic number.

1406226432 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 1406226432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019179792).

1406226432 is an abundant number, since it is smaller than the sum of its proper divisors (2632133152).

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

1406226432 is an equidigital number, since it uses as much as digits as its factorization.

1406226432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8843 (or 8821 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1406226432 is about 37499.6857586834. The cubic root of 1406226432 is about 1120.3449277749.

The spelling of 1406226432 in words is "one billion, four hundred six million, two hundred twenty-six thousand, four hundred thirty-two".