264954240 has 320 divisors, whose sum is σ = 999702000. Its totient is φ = 66686976.

The previous prime is 264954223. The next prime is 264954331. The reversal of 264954240 is 42459462.

264954240 is a `hidden beast` number, since 2 + 649 + 5 + 4 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 264954195 and 264954204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 984826 + ... + 985094.

Almost surely, 2^264954240 is an apocalyptic number.

264954240 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 264954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499851000).

264954240 is an abundant number, since it is smaller than the sum of its proper divisors (734747760).

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

264954240 is a wasteful number, since it uses less digits than its factorization.

264954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 264954240 is about 16277.4150281917. The cubic root of 264954240 is about 642.2788551904.

The spelling of 264954240 in words is "two hundred sixty-four million, nine hundred fifty-four thousand, two hundred forty".