240870400 has 99 divisors (see below), whose sum is σ = 603285699. Its totient is φ = 95354880.

The previous prime is 240870373. The next prime is 240870439. The reversal of 240870400 is 4078042.

The square root of 240870400 is 15520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8856576 + 232013824 = 2976^2 + 15232^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2483152 + ... + 2483248.

Almost surely, 2^240870400 is an apocalyptic number.

240870400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

240870400 is the 15520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240870400

240870400 is an abundant number, since it is smaller than the sum of its proper divisors (362415299).

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

240870400 is an frugal number, since it uses more digits than its factorization.

240870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The cubic root of 240870400 is about 622.1968545969.

Multiplying 240870400 by its sum of digits (25), we get a square (6021760000 = 77600²).

240870400 divided by its sum of digits (25) gives a square (9634816 = 3104²).

The spelling of 240870400 in words is "two hundred forty million, eight hundred seventy thousand, four hundred".