6459600240 has 120 divisors (see below), whose sum is σ = 22835301840. Its totient is φ = 1631895552.

The previous prime is 6459600179. The next prime is 6459600263. The reversal of 6459600240 is 420069546.

6459600240 is a `hidden beast` number, since 6 + 4 + 5 + 9 + 600 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6459600195 and 6459600204.

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 23 ways as a sum of consecutive naturals, for example, 222417 + ... + 249776.

It is an arithmetic number, because the mean of its divisors is an integer number (190294182).

Almost surely, 2^6459600240 is an apocalyptic number.

6459600240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6459600240 is an abundant number, since it is smaller than the sum of its proper divisors (16375701600).

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

6459600240 is a wasteful number, since it uses less digits than its factorization.

6459600240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472231 (or 472222 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6459600240 is about 80371.6382811748. The cubic root of 6459600240 is about 1862.3810643689.

Adding to 6459600240 its reverse (420069546), we get a palindrome (6879669786).

The spelling of 6459600240 in words is "six billion, four hundred fifty-nine million, six hundred thousand, two hundred forty".