464000240 has 40 divisors (see below), whose sum is σ = 1176875568. Its totient is φ = 168727040.

The previous prime is 464000237. The next prime is 464000263. The reversal of 464000240 is 42000464.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 262757 + ... + 264516.

Almost surely, 2^464000240 is an apocalyptic number.

464000240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464000240 is an abundant number, since it is smaller than the sum of its proper divisors (712875328).

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

464000240 is a wasteful number, since it uses less digits than its factorization.

464000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527297 (or 527291 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 464000240 is about 21540.6647993974. The cubic root of 464000240 is about 774.1754616040.

The spelling of 464000240 in words is "four hundred sixty-four million, two hundred forty", and thus it is an aban number.