1407000 has 128 divisors (see below), whose sum is σ = 5091840. Its totient is φ = 316800.

The previous prime is 1406983. The next prime is 1407011. The reversal of 1407000 is 7041.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 11.

It is a zygodrome in base 5 and base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20967 + ... + 21033.

It is an arithmetic number, because the mean of its divisors is an integer number (39780).

2^1407000 is an apocalyptic number.

1407000 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 1407000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545920).

1407000 is an abundant number, since it is smaller than the sum of its proper divisors (3684840).

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

1407000 is a wasteful number, since it uses less digits than its factorization.

1407000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 1407000 is about 1186.1703081767. The cubic root of 1407000 is about 112.0550324785.

It can be divided in two parts, 140 and 7000, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 1407000 in words is "one million, four hundred seven thousand".