264004000 has 96 divisors (see below), whose sum is σ = 698692176. Its totient is φ = 97459200.

The previous prime is 264003983. The next prime is 264004003. The reversal of 264004000 is 400462.

264004000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 22014864 + 241989136 = 4692^2 + 15556^2 .

It is a super-2 number, since 2×264004000² = 139396224032000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (264004003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49462 + ... + 54538.

Almost surely, 2^264004000 is an apocalyptic number.

264004000 is a gapful number since it is divisible by the number (20) 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 264004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349346088).

264004000 is an abundant number, since it is smaller than the sum of its proper divisors (434688176).

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

264004000 is a wasteful number, since it uses less digits than its factorization.

264004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5115 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 264004000 is about 16248.1999002966. The cubic root of 264004000 is about 641.5101059165.

Adding to 264004000 its reverse (400462), we get a palindrome (264404462).

It can be divided in two parts, 2 and 64004000, that multiplied together give a triangular number (128008000 = T₁₆₀₀₀).

The spelling of 264004000 in words is "two hundred sixty-four million, four thousand".