264454740 has 144 divisors (see below), whose sum is σ = 901817280. Its totient is φ = 63806400.

The previous prime is 264454739. The next prime is 264454753. The reversal of 264454740 is 47454462.

264454740 is a `hidden beast` number, since 2 + 644 + 5 + 4 + 7 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 264454695 and 264454704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1253235 + ... + 1253445.

It is an arithmetic number, because the mean of its divisors is an integer number (6262620).

Almost surely, 2^264454740 is an apocalyptic number.

264454740 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 264454740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450908640).

264454740 is an abundant number, since it is smaller than the sum of its proper divisors (637362540).

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

264454740 is a wasteful number, since it uses less digits than its factorization.

264454740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 264454740 is about 16262.0644445901. The cubic root of 264454740 is about 641.8749865763.

The spelling of 264454740 in words is "two hundred sixty-four million, four hundred fifty-four thousand, seven hundred forty".