264731940 has 288 divisors, whose sum is σ = 956067840. Its totient is φ = 58579200.

The previous prime is 264731917. The next prime is 264731963. The reversal of 264731940 is 49137462.

264731940 is a `hidden beast` number, since 2 + 647 + 3 + 1 + 9 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (264731917) and next prime (264731963).

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 = 264731895 and 264731904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1166107 + ... + 1166333.

It is an arithmetic number, because the mean of its divisors is an integer number (3319680).

Almost surely, 2^264731940 is an apocalyptic number.

264731940 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 264731940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478033920).

264731940 is an abundant number, since it is smaller than the sum of its proper divisors (691335900).

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

264731940 is a wasteful number, since it uses less digits than its factorization.

264731940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 264731940 is about 16270.5851154776. The cubic root of 264731940 is about 642.0991782028.

The spelling of 264731940 in words is "two hundred sixty-four million, seven hundred thirty-one thousand, nine hundred forty".