264993456 has 320 divisors, whose sum is σ = 924385280. Its totient is φ = 63452160.

The previous prime is 264993409. The next prime is 264993457. The reversal of 264993456 is 654399462.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (264993457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2572701 + ... + 2572803.

It is an arithmetic number, because the mean of its divisors is an integer number (2888704).

Almost surely, 2^264993456 is an apocalyptic number.

264993456 is a gapful number since it is divisible by the number (26) 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 264993456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462192640).

264993456 is an abundant number, since it is smaller than the sum of its proper divisors (659391824).

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

264993456 is a wasteful number, since it uses less digits than its factorization.

264993456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 178 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 48.

The square root of 264993456 is about 16278.6195974966. The cubic root of 264993456 is about 642.3105416243.

The spelling of 264993456 in words is "two hundred sixty-four million, nine hundred ninety-three thousand, four hundred fifty-six".