1409632 has 72 divisors (see below), whose sum is σ = 3447360. Its totient is φ = 564480.

The previous prime is 1409587. The next prime is 1409633. The reversal of 1409632 is 2369041.

It is a junction number, because it is equal to n+sod(n) for n = 1409597 and 1409606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1409633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45457 + ... + 45487.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

2^1409632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1409632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680).

1409632 is an abundant number, since it is smaller than the sum of its proper divisors (2037728).

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

1409632 is a wasteful number, since it uses less digits than its factorization.

1409632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 1409632 is about 1187.2792426384. The cubic root of 1409632 is about 112.1248607500.

The spelling of 1409632 in words is "one million, four hundred nine thousand, six hundred thirty-two".