240930480 has 160 divisors (see below), whose sum is σ = 867944448. Its totient is φ = 54144000.

The previous prime is 240930457. The next prime is 240930499. The reversal of 240930480 is 84039042.

It is a happy number.

240930480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×240930480³ (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101305 + ... + 103655.

Almost surely, 2^240930480 is an apocalyptic number.

240930480 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 240930480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433972224).

240930480 is an abundant number, since it is smaller than the sum of its proper divisors (627013968).

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

240930480 is a wasteful number, since it uses less digits than its factorization.

240930480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 240930480 is about 15521.9354463289. The cubic root of 240930480 is about 622.2485815553.

The spelling of 240930480 in words is "two hundred forty million, nine hundred thirty thousand, four hundred eighty".