264253752 has 112 divisors (see below), whose sum is σ = 849129840. Its totient is φ = 75489408.

The previous prime is 264253751. The next prime is 264253753. The reversal of 264253752 is 257352462.

264253752 is a `hidden beast` number, since 2 + 642 + 5 + 3 + 7 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (264253751) and next prime (264253753).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264253751) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 37588 + ... + 44060.

Almost surely, 2^264253752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264253752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424564920).

264253752 is an abundant number, since it is smaller than the sum of its proper divisors (584876088).

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

264253752 is an equidigital number, since it uses as much as digits as its factorization.

264253752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6504 (or 6485 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 264253752 is about 16255.8836117881. The cubic root of 264253752 is about 641.7123350941.

It can be divided in two parts, 264 and 253752, that added together give a square (254016 = 504²).

The spelling of 264253752 in words is "two hundred sixty-four million, two hundred fifty-three thousand, seven hundred fifty-two".