270752352 has 96 divisors (see below), whose sum is σ = 791894880. Its totient is φ = 80424960.

The previous prime is 270752351. The next prime is 270752423. The reversal of 270752352 is 253257072.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×270752352² = 146613672227063808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270752351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32452 + ... + 39932.

It is an arithmetic number, because the mean of its divisors is an integer number (8248905).

Almost surely, 2^270752352 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 270752352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395947440).

270752352 is an abundant number, since it is smaller than the sum of its proper divisors (521142528).

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

270752352 is a wasteful number, since it uses less digits than its factorization.

270752352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7536 (or 7528 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 270752352 is about 16454.5541416351. The cubic root of 270752352 is about 646.9301810987.

It can be divided in two parts, 27075 and 2352, that multiplied together give a square (63680400 = 7980²).

The spelling of 270752352 in words is "two hundred seventy million, seven hundred fifty-two thousand, three hundred fifty-two".