240280900 has 36 divisors (see below), whose sum is σ = 524099268. Its totient is φ = 95616640.

The previous prime is 240280879. The next prime is 240280913. The reversal of 240280900 is 9082042.

It can be written as a sum of positive squares in 6 ways, for example, as 19342404 + 220938496 = 4398^2 + 14864^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13602 + ... + 25798.

It is an arithmetic number, because the mean of its divisors is an integer number (14558313).

Almost surely, 2^240280900 is an apocalyptic number.

240280900 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 240280900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262049634).

240280900 is an abundant number, since it is smaller than the sum of its proper divisors (283818368).

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

240280900 is a wasteful number, since it uses less digits than its factorization.

240280900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12408 (or 12401 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 240280900 is about 15500.9967421453. The cubic root of 240280900 is about 621.6888571104.

The spelling of 240280900 in words is "two hundred forty million, two hundred eighty thousand, nine hundred".