240517872 has 180 divisors, whose sum is σ = 793877760. Its totient is φ = 67769856.

The previous prime is 240517859. The next prime is 240517883. The reversal of 240517872 is 278715042.

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 35 ways as a sum of consecutive naturals, for example, 627793 + ... + 628175.

It is an arithmetic number, because the mean of its divisors is an integer number (4410432).

Almost surely, 2^240517872 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 240517872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396938880).

240517872 is an abundant number, since it is smaller than the sum of its proper divisors (553359888).

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

240517872 is a wasteful number, since it uses less digits than its factorization.

240517872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 240517872 is about 15508.6386249729. The cubic root of 240517872 is about 621.8931658271.

The spelling of 240517872 in words is "two hundred forty million, five hundred seventeen thousand, eight hundred seventy-two".