264717040 has 40 divisors (see below), whose sum is σ = 703392480. Its totient is φ = 90759936.

The previous prime is 264717007. The next prime is 264717041. The reversal of 264717040 is 40717462.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×264717040² = 140150222532723200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 264716993 and 264717011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264717041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235795 + ... + 236914.

It is an arithmetic number, because the mean of its divisors is an integer number (17584812).

Almost surely, 2^264717040 is an apocalyptic number.

264717040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264717040 is an abundant number, since it is smaller than the sum of its proper divisors (438675440).

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

264717040 is a wasteful number, since it uses less digits than its factorization.

264717040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472729 (or 472723 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 264717040 is about 16270.1272275296. The cubic root of 264717040 is about 642.0871314795.

The spelling of 264717040 in words is "two hundred sixty-four million, seven hundred seventeen thousand, forty".