264473604 has 72 divisors (see below), whose sum is σ = 688647960. Its totient is φ = 85542912.

The previous prime is 264473581. The next prime is 264473609. The reversal of 264473604 is 406374462.

264473604 is a `hidden beast` number, since 2 + 6 + 4 + 47 + 3 + 604 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12616704 + 251856900 = 3552^2 + 15870^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (264473609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184362 + ... + 185790.

It is an arithmetic number, because the mean of its divisors is an integer number (9564555).

Almost surely, 2^264473604 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 264473604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344323980).

264473604 is an abundant number, since it is smaller than the sum of its proper divisors (424174356).

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

264473604 is a wasteful number, since it uses less digits than its factorization.

264473604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 264473604 is about 16262.6444344086. The cubic root of 264473604 is about 641.8902482198.

The spelling of 264473604 in words is "two hundred sixty-four million, four hundred seventy-three thousand, six hundred four".