1407880 has 32 divisors (see below), whose sum is σ = 3225240. Its totient is φ = 552960.

The previous prime is 1407877. The next prime is 1407883. The reversal of 1407880 is 887041.

It is an interprime number because it is at equal distance from previous prime (1407877) and next prime (1407883).

It can be written as a sum of positive squares in 4 ways, for example, as 1179396 + 228484 = 1086^2 + 478^2 .

It is not an unprimeable number, because it can be changed into a prime (1407883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2152 + ... + 2728.

2^1407880 is an apocalyptic number.

1407880 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 1407880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612620).

1407880 is an abundant number, since it is smaller than the sum of its proper divisors (1817360).

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

1407880 is a wasteful number, since it uses less digits than its factorization.

1407880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 1407880 is about 1186.5411918682. The cubic root of 1407880 is about 112.0783890001.

The spelling of 1407880 in words is "one million, four hundred seven thousand, eight hundred eighty".