264988440 has 144 divisors (see below), whose sum is σ = 909370800. Its totient is φ = 66911616.

The previous prime is 264988429. The next prime is 264988441. The reversal of 264988440 is 44889462.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264988441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 128941 + ... + 130979.

It is an arithmetic number, because the mean of its divisors is an integer number (6315075).

Almost surely, 2^264988440 is an apocalyptic number.

264988440 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 264988440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454685400).

264988440 is an abundant number, since it is smaller than the sum of its proper divisors (644382360).

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

264988440 is a wasteful number, since it uses less digits than its factorization.

264988440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 264988440 is about 16278.4655296499. The cubic root of 264988440 is about 642.3064888827.

The spelling of 264988440 in words is "two hundred sixty-four million, nine hundred eighty-eight thousand, four hundred forty".