240225480 has 256 divisors, whose sum is σ = 888710400. Its totient is φ = 57231360.

The previous prime is 240225463. The next prime is 240225481. The reversal of 240225480 is 84522042.

It is a happy number.

240225480 is a `hidden beast` number, since 2 + 402 + 254 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (240225481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 867102 + ... + 867378.

It is an arithmetic number, because the mean of its divisors is an integer number (3471525).

Almost surely, 2^240225480 is an apocalyptic number.

240225480 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 240225480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444355200).

240225480 is an abundant number, since it is smaller than the sum of its proper divisors (648484920).

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

240225480 is a wasteful number, since it uses less digits than its factorization.

240225480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 240225480 is about 15499.2090120754. The cubic root of 240225480 is about 621.6410566045.

The spelling of 240225480 in words is "two hundred forty million, two hundred twenty-five thousand, four hundred eighty".