264864000 has 288 divisors, whose sum is σ = 918328320. Its totient is φ = 67584000.

The previous prime is 264863999. The next prime is 264864001. The reversal of 264864000 is 468462.

It is an interprime number because it is at equal distance from previous prime (264863999) and next prime (264864001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264864001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2975956 + ... + 2976044.

It is an arithmetic number, because the mean of its divisors is an integer number (3188640).

Almost surely, 2^264864000 is an apocalyptic number.

264864000 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 264864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459164160).

264864000 is an abundant number, since it is smaller than the sum of its proper divisors (653464320).

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

264864000 is an equidigital number, since it uses as much as digits as its factorization.

264864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 264864000 is about 16274.6428532242. The cubic root of 264864000 is about 642.2059296100.

The spelling of 264864000 in words is "two hundred sixty-four million, eight hundred sixty-four thousand".