1407312 has 60 divisors (see below), whose sum is σ = 4086420. Its totient is φ = 451584.

The previous prime is 1407293. The next prime is 1407317. The reversal of 1407312 is 2137041.

It can be written as a sum of positive squares in 2 ways, for example, as 553536 + 853776 = 744^2 + 924^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1407317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4008 + ... + 4344.

It is an arithmetic number, because the mean of its divisors is an integer number (68107).

2^1407312 is an apocalyptic number.

1407312 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 1407312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043210).

1407312 is an abundant number, since it is smaller than the sum of its proper divisors (2679108).

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

1407312 is a wasteful number, since it uses less digits than its factorization.

1407312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1407312 is about 1186.3018165711. The cubic root of 1407312 is about 112.0633145411.

The spelling of 1407312 in words is "one million, four hundred seven thousand, three hundred twelve".