264056400 has 180 divisors, whose sum is σ = 939223740. Its totient is φ = 68659200.

The previous prime is 264056381. The next prime is 264056411. The reversal of 264056400 is 4650462.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5875776 + 258180624 = 2424^2 + 16068^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 146706 + ... + 148494.

Almost surely, 2^264056400 is an apocalyptic number.

264056400 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 264056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469611870).

264056400 is an abundant number, since it is smaller than the sum of its proper divisors (675167340).

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

264056400 is a wasteful number, since it uses less digits than its factorization.

264056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1840 counting only the distinct ones).

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

The square root of 264056400 is about 16249.8123066083. The cubic root of 264056400 is about 641.5525458111.

The spelling of 264056400 in words is "two hundred sixty-four million, fifty-six thousand, four hundred".