466244240 has 80 divisors (see below), whose sum is σ = 1351520640. Its totient is φ = 145320960.

The previous prime is 466244239. The next prime is 466244243. The reversal of 466244240 is 42442664.

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

It is a junction number, because it is equal to n+sod(n) for n = 466244197 and 466244206.

It is not an unprimeable number, because it can be changed into a prime (466244243) by changing a digit.

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, 31685 + ... + 44004.

It is an arithmetic number, because the mean of its divisors is an integer number (16894008).

Almost surely, 2^466244240 is an apocalyptic number.

466244240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

466244240 is an abundant number, since it is smaller than the sum of its proper divisors (885276400).

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

466244240 is a wasteful number, since it uses less digits than its factorization.

466244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75720 (or 75714 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 466244240 is about 21592.6895036260. The cubic root of 466244240 is about 775.4214786831.

The spelling of 466244240 in words is "four hundred sixty-six million, two hundred forty-four thousand, two hundred forty".