240080400 has 270 divisors, whose sum is σ = 969881562. Its totient is φ = 54835200.

The previous prime is 240080387. The next prime is 240080411. The reversal of 240080400 is 4080042.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1192464 + 238887936 = 1092^2 + 15456^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 53 ways as a sum of consecutive naturals, for example, 175720 + ... + 177080.

Almost surely, 2^240080400 is an apocalyptic number.

240080400 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 240080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484940781).

240080400 is an abundant number, since it is smaller than the sum of its proper divisors (729801162).

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

240080400 is a wasteful number, since it uses less digits than its factorization.

240080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 240080400 is about 15494.5280663852. The cubic root of 240080400 is about 621.5158883024.

The spelling of 240080400 in words is "two hundred forty million, eighty thousand, four hundred".