466506240 has 320 divisors, whose sum is σ = 1649894400. Its totient is φ = 111919104.

The previous prime is 466506233. The next prime is 466506247. The reversal of 466506240 is 42605664.

It is an interprime number because it is at equal distance from previous prime (466506233) and next prime (466506247).

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (466506247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3356091 + ... + 3356229.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2^466506240 is an apocalyptic number.

466506240 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 466506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824947200).

466506240 is an abundant number, since it is smaller than the sum of its proper divisors (1183388160).

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

466506240 is a wasteful number, since it uses less digits than its factorization.

466506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 466506240 is about 21598.7555197053. The cubic root of 466506240 is about 775.5666975530.

The spelling of 466506240 in words is "four hundred sixty-six million, five hundred six thousand, two hundred forty".