240498720 has 480 divisors, whose sum is σ = 1062585216. Its totient is φ = 49766400.

The previous prime is 240498701. The next prime is 240498721. The reversal of 240498720 is 27894042.

240498720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (240498721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 997800 + ... + 998040.

Almost surely, 2^240498720 is an apocalyptic number.

240498720 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 240498720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531292608).

240498720 is an abundant number, since it is smaller than the sum of its proper divisors (822086496).

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

240498720 is a wasteful number, since it uses less digits than its factorization.

240498720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 240498720 is about 15508.0211503596. The cubic root of 240498720 is about 621.8766586490.

It can be divided in two parts, 2404 and 98720, that added together give a square (101124 = 318²).

The spelling of 240498720 in words is "two hundred forty million, four hundred ninety-eight thousand, seven hundred twenty".