464206240 has 48 divisors (see below), whose sum is σ = 1144378368. Its totient is φ = 177607936.

The previous prime is 464206187. The next prime is 464206261. The reversal of 464206240 is 42602464.

It is a junction number, because it is equal to n+sod(n) for n = 464206199 and 464206208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59392 + ... + 66751.

It is an arithmetic number, because the mean of its divisors is an integer number (23841216).

Almost surely, 2^464206240 is an apocalyptic number.

464206240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464206240 is an abundant number, since it is smaller than the sum of its proper divisors (680172128).

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

464206240 is a wasteful number, since it uses less digits than its factorization.

464206240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126181 (or 126173 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 464206240 is about 21545.4459225146. The cubic root of 464206240 is about 774.2900136638.

The spelling of 464206240 in words is "four hundred sixty-four million, two hundred six thousand, two hundred forty".