264534240 has 48 divisors (see below), whose sum is σ = 833284368. Its totient is φ = 70542336.

The previous prime is 264534233. The next prime is 264534241. The reversal of 264534240 is 42435462.

264534240 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 264534198 and 264534207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264534241) 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, 275077 + ... + 276036.

It is an arithmetic number, because the mean of its divisors is an integer number (17360091).

Almost surely, 2^264534240 is an apocalyptic number.

264534240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264534240 is an abundant number, since it is smaller than the sum of its proper divisors (568750128).

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

264534240 is a wasteful number, since it uses less digits than its factorization.

264534240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551131 (or 551123 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 264534240 is about 16264.5086000162. The cubic root of 264534240 is about 641.9392999744.

The spelling of 264534240 in words is "two hundred sixty-four million, five hundred thirty-four thousand, two hundred forty".