264029000 has 32 divisors (see below), whose sum is σ = 617830200. Its totient is φ = 105611200.

The previous prime is 264028979. The next prime is 264029047. The reversal of 264029000 is 920462.

It can be written as a sum of positive squares in 4 ways, for example, as 20232004 + 243796996 = 4498^2 + 15614^2 .

It is a super-2 number, since 2×264029000² = 139422625682000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131015 + ... + 133014.

Almost surely, 2^264029000 is an apocalyptic number.

264029000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264029000 is an abundant number, since it is smaller than the sum of its proper divisors (353801200).

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

264029000 is a wasteful number, since it uses less digits than its factorization.

264029000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264050 (or 264036 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 264029000 is about 16248.9691980753. The cubic root of 264029000 is about 641.5303546582.

Adding to 264029000 its reverse (920462), we get a palindrome (264949462).

The spelling of 264029000 in words is "two hundred sixty-four million, twenty-nine thousand".