468866240 has 112 divisors (see below), whose sum is σ = 1147206240. Its totient is φ = 182476800.

The previous prime is 468866231. The next prime is 468866261. The reversal of 468866240 is 42668864.

It is a junction number, because it is equal to n+sod(n) for n = 468866191 and 468866200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2876399 + ... + 2876561.

Almost surely, 2^468866240 is an apocalyptic number.

468866240 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 468866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573603120).

468866240 is an abundant number, since it is smaller than the sum of its proper divisors (678340000).

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

468866240 is a wasteful number, since it uses less digits than its factorization.

468866240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The square root of 468866240 is about 21653.3193760218. The cubic root of 468866240 is about 776.8723317961.

The spelling of 468866240 in words is "four hundred sixty-eight million, eight hundred sixty-six thousand, two hundred forty".