264492144 has 120 divisors (see below), whose sum is σ = 852838272. Its totient is φ = 74954880.

The previous prime is 264492139. The next prime is 264492161. The reversal of 264492144 is 441294462.

It is a happy number.

264492144 is a `hidden beast` number, since 2 + 644 + 9 + 2 + 1 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 264492099 and 264492108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131047 + ... + 133049.

Almost surely, 2^264492144 is an apocalyptic number.

264492144 is a gapful number since it is divisible by the number (24) 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 264492144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426419136).

264492144 is an abundant number, since it is smaller than the sum of its proper divisors (588346128).

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

264492144 is a wasteful number, since it uses less digits than its factorization.

264492144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2146 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 264492144 is about 16263.2144424157. The cubic root of 264492144 is about 641.9052470287.

The spelling of 264492144 in words is "two hundred sixty-four million, four hundred ninety-two thousand, one hundred forty-four".