264000546 has 48 divisors (see below), whose sum is σ = 596048544. Its totient is φ = 87575904.

The previous prime is 264000523. The next prime is 264000547. The reversal of 264000546 is 645000462.

It is a happy number.

264000546 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

264000546 is a modest number, since divided by 546 gives 264 as remainder.

It is not an unprimeable number, because it can be changed into a prime (264000547) 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, 109126 + ... + 111518.

It is an arithmetic number, because the mean of its divisors is an integer number (12417678).

Almost surely, 2^264000546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264000546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298024272).

264000546 is an abundant number, since it is smaller than the sum of its proper divisors (332047998).

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

264000546 is a wasteful number, since it uses less digits than its factorization.

264000546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637 (or 2625 counting only the distinct ones).

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

The square root of 264000546 is about 16248.0936112518. The cubic root of 264000546 is about 641.5073082498.

The spelling of 264000546 in words is "two hundred sixty-four million, five hundred forty-six", and thus it is an aban number.