264406120 has 64 divisors (see below), whose sum is σ = 658756800. Its totient is φ = 94702080.

The previous prime is 264406061. The next prime is 264406123. The reversal of 264406120 is 21604462.

It is not an unprimeable number, because it can be changed into a prime (264406123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24996 + ... + 33964.

It is an arithmetic number, because the mean of its divisors is an integer number (10293075).

Almost surely, 2^264406120 is an apocalyptic number.

264406120 is a gapful number since it is divisible by the number (20) 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 264406120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329378400).

264406120 is an abundant number, since it is smaller than the sum of its proper divisors (394350680).

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

264406120 is a wasteful number, since it uses less digits than its factorization.

264406120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9058 (or 9054 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 264406120 is about 16260.5694857222. The cubic root of 264406120 is about 641.8356479299.

The spelling of 264406120 in words is "two hundred sixty-four million, four hundred six thousand, one hundred twenty".