240350000 has 240 divisors, whose sum is σ = 697455360. Its totient is φ = 79200000.

The previous prime is 240349997. The next prime is 240350021. The reversal of 240350000 is 53042.

240350000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10449989 + ... + 10450011.

It is an arithmetic number, because the mean of its divisors is an integer number (2906064).

Almost surely, 2^240350000 is an apocalyptic number.

240350000 is a gapful number since it is divisible by the number (20) 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 240350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348727680).

240350000 is an abundant number, since it is smaller than the sum of its proper divisors (457105360).

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

240350000 is a wasteful number, since it uses less digits than its factorization.

240350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 240350000 is about 15503.2254708496. The cubic root of 240350000 is about 621.7484465085.

The spelling of 240350000 in words is "two hundred forty million, three hundred fifty thousand".