240827904 has 100 divisors (see below), whose sum is σ = 718931664. Its totient is φ = 80262144.

The previous prime is 240827863. The next prime is 240827947. The reversal of 240827904 is 409728042.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38569 + ... + 44375.

Almost surely, 2^240827904 is an apocalyptic number.

240827904 is a gapful number since it is divisible by the number (24) 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 240827904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359465832).

240827904 is an abundant number, since it is smaller than the sum of its proper divisors (478103760).

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

240827904 is an frugal number, since it uses more digits than its factorization.

240827904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5837 (or 5812 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 240827904 is about 15518.6308674445. The cubic root of 240827904 is about 622.1602617063.

The spelling of 240827904 in words is "two hundred forty million, eight hundred twenty-seven thousand, nine hundred four".