466086240 has 288 divisors, whose sum is σ = 1681295616. Its totient is φ = 117411840.

The previous prime is 466086223. The next prime is 466086259. The reversal of 466086240 is 42680664.

It is a happy number.

466086240 is a `hidden beast` number, since 4 + 6 + 608 + 6 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 466086195 and 466086204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2365822 + ... + 2366018.

It is an arithmetic number, because the mean of its divisors is an integer number (5837832).

Almost surely, 2^466086240 is an apocalyptic number.

466086240 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 466086240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840647808).

466086240 is an abundant number, since it is smaller than the sum of its proper divisors (1215209376).

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

466086240 is a wasteful number, since it uses less digits than its factorization.

466086240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 466086240 is about 21589.0305479426. The cubic root of 466086240 is about 775.3338776469. Note that the first 3 decimals are identical.

The spelling of 466086240 in words is "four hundred sixty-six million, eighty-six thousand, two hundred forty".