240480480 has 48 divisors (see below), whose sum is σ = 757515024. Its totient is φ = 64128000.

The previous prime is 240480463. The next prime is 240480481. The reversal of 240480480 is 84084042.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×240480480² = 115661722522060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240480481) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 250021 + ... + 250980.

It is an arithmetic number, because the mean of its divisors is an integer number (15781563).

Almost surely, 2^240480480 is an apocalyptic number.

240480480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240480480 is an abundant number, since it is smaller than the sum of its proper divisors (517034544).

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

240480480 is a wasteful number, since it uses less digits than its factorization.

240480480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501019 (or 501011 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 240480480 is about 15507.4330564410. The cubic root of 240480480 is about 621.8609367122.

The spelling of 240480480 in words is "two hundred forty million, four hundred eighty thousand, four hundred eighty".