264415000 has 40 divisors (see below), whose sum is σ = 619536060. Its totient is φ = 105764000.

The previous prime is 264414977. The next prime is 264415033. The reversal of 264415000 is 514462.

264415000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 21442 + ... + 31441.

Almost surely, 2^264415000 is an apocalyptic number.

264415000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264415000 is an abundant number, since it is smaller than the sum of its proper divisors (355121060).

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

264415000 is an equidigital number, since it uses as much as digits as its factorization.

264415000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52909 (or 52890 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 264415000 is about 16260.8425365969. The cubic root of 264415000 is about 641.8428331351.

Adding to 264415000 its reverse (514462), we get a palindrome (264929462).

The spelling of 264415000 in words is "two hundred sixty-four million, four hundred fifteen thousand".