240900000 has 288 divisors, whose sum is σ = 874069056. Its totient is φ = 57600000.

The previous prime is 240899951. The next prime is 240900001. The reversal of 240900000 is 9042.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (240900001) 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, 3299964 + ... + 3300036.

It is an arithmetic number, because the mean of its divisors is an integer number (3034962).

Almost surely, 2^240900000 is an apocalyptic number.

240900000 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 240900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437034528).

240900000 is an abundant number, since it is smaller than the sum of its proper divisors (633169056).

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

240900000 is an equidigital number, since it uses as much as digits as its factorization.

240900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 240900000 is about 15520.9535789526. The cubic root of 240900000 is about 622.2223403250. Note that the first 3 decimals are identical.

Adding to 240900000 its reverse (9042), we get a palindrome (240909042).

It can be divided in two parts, 240 and 900000, that multiplied together give a cube (216000000 = 600³).

The spelling of 240900000 in words is "two hundred forty million, nine hundred thousand".