1407940 has 48 divisors (see below), whose sum is σ = 3238704. Its totient is φ = 512000.

The previous prime is 1407937. The next prime is 1407971. The reversal of 1407940 is 497041.

It can be written as a sum of positive squares in 8 ways, for example, as 10816 + 1397124 = 104^2 + 1182^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13890 + ... + 13990.

It is an arithmetic number, because the mean of its divisors is an integer number (67473).

2^1407940 is an apocalyptic number.

1407940 is a gapful number since it is divisible by the number (10) 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 1407940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619352).

1407940 is an abundant number, since it is smaller than the sum of its proper divisors (1830764).

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

1407940 is a wasteful number, since it uses less digits than its factorization.

1407940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 1407940 is about 1186.5664751711. The cubic root of 1407940 is about 112.0799811358.

The spelling of 1407940 in words is "one million, four hundred seven thousand, nine hundred forty".