109400460 has 72 divisors (see below), whose sum is σ = 331727760. Its totient is φ = 26926848.

The previous prime is 109400437. The next prime is 109400477. The reversal of 109400460 is 64004901.

It is a self number, because there is not a number n which added to its sum of digits gives 109400460.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4746 + ... + 15534.

It is an arithmetic number, because the mean of its divisors is an integer number (4607330).

Almost surely, 2^109400460 is an apocalyptic number.

109400460 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 109400460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165863880).

109400460 is an abundant number, since it is smaller than the sum of its proper divisors (222327300).

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

109400460 is a wasteful number, since it uses less digits than its factorization.

109400460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10827 (or 10812 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 109400460 is about 10459.4674816646. The cubic root of 109400460 is about 478.2699000355.

The spelling of 109400460 in words is "one hundred nine million, four hundred thousand, four hundred sixty".