466004240 has 80 divisors (see below), whose sum is σ = 1183424256. Its totient is φ = 169612800.

The previous prime is 466004213. The next prime is 466004291. The reversal of 466004240 is 42400664.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70685 + ... + 76995.

Almost surely, 2^466004240 is an apocalyptic number.

466004240 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 466004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591712128).

466004240 is an abundant number, since it is smaller than the sum of its proper divisors (717420016).

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

466004240 is a wasteful number, since it uses less digits than its factorization.

466004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 466004240 is about 21587.1313518031. The cubic root of 466004240 is about 775.2884060143.

The spelling of 466004240 in words is "four hundred sixty-six million, four thousand, two hundred forty".