240152352 has 96 divisors (see below), whose sum is σ = 691032384. Its totient is φ = 72422400.

The previous prime is 240152347. The next prime is 240152359. The reversal of 240152352 is 253251042.

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

It is a super-2 number, since 2×240152352² = 115346304342263808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (240152359) 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, 292102 + ... + 292922.

It is an arithmetic number, because the mean of its divisors is an integer number (7198254).

Almost surely, 2^240152352 is an apocalyptic number.

240152352 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 240152352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345516192).

240152352 is an abundant number, since it is smaller than the sum of its proper divisors (450880032).

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

240152352 is a wasteful number, since it uses less digits than its factorization.

240152352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 240152352 is about 15496.8497443835. The cubic root of 240152352 is about 621.5779714552.

The spelling of 240152352 in words is "two hundred forty million, one hundred fifty-two thousand, three hundred fifty-two".