264648384 has 672 divisors, whose sum is σ = 1118347776. Its totient is φ = 59719680.

The previous prime is 264648337. The next prime is 264648467. The reversal of 264648384 is 483846462.

264648384 is a `hidden beast` number, since 264 + 6 + 4 + 8 + 384 = 666.

264648384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×264648384² = 140077534307622912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15567544 + ... + 15567560.

It is an arithmetic number, because the mean of its divisors is an integer number (1664208).

Almost surely, 2^264648384 is an apocalyptic number.

264648384 is a gapful number since it is divisible by the number (24) 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 264648384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559173888).

264648384 is an abundant number, since it is smaller than the sum of its proper divisors (853699392).

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

264648384 is a wasteful number, since it uses less digits than its factorization.

264648384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 264648384 is about 16268.0172116949. The cubic root of 264648384 is about 642.0316169249.

It can be divided in two parts, 2646 and 48384, that multiplied together give a cube (128024064 = 504³).

The spelling of 264648384 in words is "two hundred sixty-four million, six hundred forty-eight thousand, three hundred eighty-four".