264214704 has 120 divisors (see below), whose sum is σ = 755837040. Its totient is φ = 79059456.

The previous prime is 264214681. The next prime is 264214721. The reversal of 264214704 is 407412462.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1153662 + ... + 1153890.

It is an arithmetic number, because the mean of its divisors is an integer number (6298642).

Almost surely, 2^264214704 is an apocalyptic number.

264214704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264214704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377918520).

264214704 is an abundant number, since it is smaller than the sum of its proper divisors (491622336).

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

264214704 is a wasteful number, since it uses less digits than its factorization.

264214704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 264214704 is about 16254.6825253525. The cubic root of 264214704 is about 641.6807255554.

It can be divided in two parts, 26421 and 4704, that added together give a triangular number (31125 = T₂₄₉).

The spelling of 264214704 in words is "two hundred sixty-four million, two hundred fourteen thousand, seven hundred four".