264846240 has 192 divisors, whose sum is σ = 937681920. Its totient is φ = 69811200.

The previous prime is 264846233. The next prime is 264846271. The reversal of 264846240 is 42648462.

It is a happy number.

264846240 is a `hidden beast` number, since 2 + 648 + 4 + 6 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 264846195 and 264846204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436017 + ... + 436623.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2^264846240 is an apocalyptic number.

264846240 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 264846240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468840960).

264846240 is an abundant number, since it is smaller than the sum of its proper divisors (672835680).

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

264846240 is a wasteful number, since it uses less digits than its factorization.

264846240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 264846240 is about 16274.0972099837. The cubic root of 264846240 is about 642.1915752845.

The spelling of 264846240 in words is "two hundred sixty-four million, eight hundred forty-six thousand, two hundred forty".