1407328 has 48 divisors (see below), whose sum is σ = 3175200. Its totient is φ = 608256.

The previous prime is 1407323. The next prime is 1407337. The reversal of 1407328 is 8237041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1407323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6973 + ... + 7171.

It is an arithmetic number, because the mean of its divisors is an integer number (66150).

2^1407328 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 1407328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587600).

1407328 is an abundant number, since it is smaller than the sum of its proper divisors (1767872).

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

1407328 is a wasteful number, since it uses less digits than its factorization.

1407328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1407328 is about 1186.3085601984. The cubic root of 1407328 is about 112.0637392293.

The spelling of 1407328 in words is "one million, four hundred seven thousand, three hundred twenty-eight".