264483840 has 176 divisors, whose sum is σ = 861901632. Its totient is φ = 69206016.

The previous prime is 264483827. The next prime is 264483851. The reversal of 264483840 is 48384462.

It is a super-2 number, since 2×264483840² = 139903403242291200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1028992 + ... + 1029248.

Almost surely, 2^264483840 is an apocalyptic number.

264483840 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 264483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430950816).

264483840 is an abundant number, since it is smaller than the sum of its proper divisors (597417792).

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

264483840 is a wasteful number, since it uses less digits than its factorization.

264483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 264483840 is about 16262.9591403287. The cubic root of 264483840 is about 641.8985292022.

The spelling of 264483840 in words is "two hundred sixty-four million, four hundred eighty-three thousand, eight hundred forty".