1407888 has 40 divisors (see below), whose sum is σ = 4042400. Its totient is φ = 469152.

The previous prime is 1407883. The next prime is 1407893. The reversal of 1407888 is 8887041.

It is an interprime number because it is at equal distance from previous prime (1407883) and next prime (1407893).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1198 + ... + 2061.

It is an arithmetic number, because the mean of its divisors is an integer number (101060).

2^1407888 is an apocalyptic number.

1407888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1407888 is an abundant number, since it is smaller than the sum of its proper divisors (2634512).

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

1407888 is a wasteful number, since it uses less digits than its factorization.

1407888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1407888 is about 1186.5445630064. The cubic root of 1407888 is about 112.0786012875.

The spelling of 1407888 in words is "one million, four hundred seven thousand, eight hundred eighty-eight".