109408464 has 180 divisors, whose sum is σ = 356316480. Its totient is φ = 31073280.

The previous prime is 109408427. The next prime is 109408477. The reversal of 109408464 is 464804901.

It is a happy number.

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 457657 + ... + 457895.

It is an arithmetic number, because the mean of its divisors is an integer number (1979536).

Almost surely, 2^109408464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109408464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178158240).

109408464 is an abundant number, since it is smaller than the sum of its proper divisors (246908016).

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

109408464 is a wasteful number, since it uses less digits than its factorization.

109408464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 109408464 is about 10459.8500945281. The cubic root of 109408464 is about 478.2815635420.

The spelling of 109408464 in words is "one hundred nine million, four hundred eight thousand, four hundred sixty-four".