264065004 has 144 divisors (see below), whose sum is σ = 793182208. Its totient is φ = 72503424.

The previous prime is 264065003. The next prime is 264065033. The reversal of 264065004 is 400560462.

It is a happy number.

264065004 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 650 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (264065003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1184037 + ... + 1184259.

Almost surely, 2^264065004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264065004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396591104).

264065004 is an abundant number, since it is smaller than the sum of its proper divisors (529117204).

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

264065004 is a wasteful number, since it uses less digits than its factorization.

264065004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 264065004 is about 16250.0770459712. The cubic root of 264065004 is about 641.5595138403.

The spelling of 264065004 in words is "two hundred sixty-four million, sixty-five thousand, four".