11407980 has 48 divisors (see below), whose sum is σ = 33626880. Its totient is φ = 2881728.

The previous prime is 11407967. The next prime is 11407987. The reversal of 11407980 is 8970411.

It is a super-3 number, since 3×11407980³ (a number of 22 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (30) 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 (30).

It is not an unprimeable number, because it can be changed into a prime (11407987) 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 15 ways as a sum of consecutive naturals, for example, 3864 + ... + 6143.

It is an arithmetic number, because the mean of its divisors is an integer number (700560).

Almost surely, 2^11407980 is an apocalyptic number.

11407980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11407980 is an abundant number, since it is smaller than the sum of its proper divisors (22218900).

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

11407980 is a wasteful number, since it uses less digits than its factorization.

11407980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10038 (or 10036 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 11407980 is about 3377.5701325065. The cubic root of 11407980 is about 225.1142136185.

The spelling of 11407980 in words is "eleven million, four hundred seven thousand, nine hundred eighty".