240527232 has 384 divisors, whose sum is σ = 846518400. Its totient is φ = 67184640.

The previous prime is 240527219. The next prime is 240527239. The reversal of 240527232 is 232725042.

240527232 is a `hidden beast` number, since 2 + 405 + 27 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 240527196 and 240527205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240527239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6500718 + ... + 6500754.

It is an arithmetic number, because the mean of its divisors is an integer number (2204475).

Almost surely, 2^240527232 is an apocalyptic number.

240527232 is a gapful number since it is divisible by the number (22) 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 240527232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423259200).

240527232 is an abundant number, since it is smaller than the sum of its proper divisors (605991168).

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

240527232 is a wasteful number, since it uses less digits than its factorization.

240527232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 240527232 is about 15508.9403893367. The cubic root of 240527232 is about 621.9012329262.

The spelling of 240527232 in words is "two hundred forty million, five hundred twenty-seven thousand, two hundred thirty-two".