264152448 has 256 divisors, whose sum is σ = 910656000. Its totient is φ = 73820160.

The previous prime is 264152431. The next prime is 264152491. The reversal of 264152448 is 844251462.

264152448 is a `hidden beast` number, since 2 + 64 + 152 + 448 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1475623 + ... + 1475801.

It is an arithmetic number, because the mean of its divisors is an integer number (3557250).

Almost surely, 2^264152448 is an apocalyptic number.

264152448 is a gapful number since it is divisible by the number (28) 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 264152448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455328000).

264152448 is an abundant number, since it is smaller than the sum of its proper divisors (646503552).

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

264152448 is a wasteful number, since it uses less digits than its factorization.

264152448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 264152448 is about 16252.7673951238. The cubic root of 264152448 is about 641.6303225906.

The spelling of 264152448 in words is "two hundred sixty-four million, one hundred fifty-two thousand, four hundred forty-eight".