264142272 has 56 divisors (see below), whose sum is σ = 700176400. Its totient is φ = 87883776.

The previous prime is 264142259. The next prime is 264142273. The reversal of 264142272 is 272241462.

It is a super-2 number, since 2×264142272² = 139542279714643968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264142273) 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, 146754 + ... + 148542.

It is an arithmetic number, because the mean of its divisors is an integer number (12503150).

Almost surely, 2^264142272 is an apocalyptic number.

It is an amenable number.

264142272 is an abundant number, since it is smaller than the sum of its proper divisors (436034128).

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

264142272 is a wasteful number, since it uses less digits than its factorization.

264142272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2563 counting only the distinct ones).

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

The square root of 264142272 is about 16252.4543377300. The cubic root of 264142272 is about 641.6220832651.

The spelling of 264142272 in words is "two hundred sixty-four million, one hundred forty-two thousand, two hundred seventy-two".