264215040 has 80 divisors (see below), whose sum is σ = 844687008. Its totient is φ = 70455296.

The previous prime is 264215023. The next prime is 264215047. The reversal of 264215040 is 40512462.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 264215040.

It is not an unprimeable number, because it can be changed into a prime (264215047) 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, 9522 + ... + 24881.

Almost surely, 2^264215040 is an apocalyptic number.

264215040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264215040 is an abundant number, since it is smaller than the sum of its proper divisors (580471968).

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

264215040 is an equidigital number, since it uses as much as digits as its factorization.

264215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34429 (or 34413 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 264215040 is about 16254.6928608325. The cubic root of 264215040 is about 641.6809975623.

The spelling of 264215040 in words is "two hundred sixty-four million, two hundred fifteen thousand, forty".