240480472320 has 1080 divisors, whose sum is σ = 979915000680. Its totient is φ = 56202854400.

The previous prime is 240480472303. The next prime is 240480472333. The reversal of 240480472320 is 23274084042.

240480472320 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 53483037696 + 186997434624 = 231264^2 + 432432^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 363812790 + ... + 363813450.

Almost surely, 2^240480472320 is an apocalyptic number.

240480472320 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 240480472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489957500340).

240480472320 is an abundant number, since it is smaller than the sum of its proper divisors (739434528360).

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

240480472320 is a wasteful number, since it uses less digits than its factorization.

240480472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 240480472320 in words is "two hundred forty billion, four hundred eighty million, four hundred seventy-two thousand, three hundred twenty".