484266240 has 216 divisors, whose sum is σ = 1693805568. Its totient is φ = 127733760.

The previous prime is 484266217. The next prime is 484266253. The reversal of 484266240 is 42662484.

It is a happy number.

484266240 is a `hidden beast` number, since 4 + 8 + 4 + 26 + 624 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 484266195 and 484266204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1462875 + ... + 1463205.

Almost surely, 2^484266240 is an apocalyptic number.

484266240 is a gapful number since it is divisible by the number (40) 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 484266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846902784).

484266240 is an abundant number, since it is smaller than the sum of its proper divisors (1209539328).

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

484266240 is a wasteful number, since it uses less digits than its factorization.

484266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 484266240 is about 22006.0500771947. The cubic root of 484266240 is about 785.2863790747.

The spelling of 484266240 in words is "four hundred eighty-four million, two hundred sixty-six thousand, two hundred forty".