264460224 has 56 divisors (see below), whose sum is σ = 799681408. Its totient is φ = 75559680.

The previous prime is 264460223. The next prime is 264460241. The reversal of 264460224 is 422064462.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 264460191 and 264460200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264460223) 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, 97042 + ... + 99729.

Almost surely, 2^264460224 is an apocalyptic number.

264460224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

264460224 is an abundant number, since it is smaller than the sum of its proper divisors (535221184).

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

264460224 is a wasteful number, since it uses less digits than its factorization.

264460224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196793 (or 196783 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 264460224 is about 16262.2330569944. The cubic root of 264460224 is about 641.8794234012.

The spelling of 264460224 in words is "two hundred sixty-four million, four hundred sixty thousand, two hundred twenty-four".