264624340 has 24 divisors (see below), whose sum is σ = 556044552. Its totient is φ = 105786240.

The previous prime is 264624331. The next prime is 264624341. The reversal of 264624340 is 43426462.

264624340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12068676 + 252555664 = 3474^2 + 15892^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264624341) 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, 44842 + ... + 50398.

It is an arithmetic number, because the mean of its divisors is an integer number (23168523).

Almost surely, 2^264624340 is an apocalyptic number.

264624340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264624340 is an abundant number, since it is smaller than the sum of its proper divisors (291420212).

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

264624340 is a wasteful number, since it uses less digits than its factorization.

264624340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7947 (or 7945 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The square root of 264624340 is about 16267.2781988875. The cubic root of 264624340 is about 642.0121729171.

The spelling of 264624340 in words is "two hundred sixty-four million, six hundred twenty-four thousand, three hundred forty".