464139360 has 72 divisors (see below), whose sum is σ = 1583880480. Its totient is φ = 123770112.

The previous prime is 464139349. The next prime is 464139367. The reversal of 464139360 is 63931464.

464139360 is a `hidden beast` number, since 4 + 641 + 3 + 9 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464139367) 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 11 ways as a sum of consecutive naturals, for example, 159720 + ... + 162599.

It is an arithmetic number, because the mean of its divisors is an integer number (21998340).

Almost surely, 2^464139360 is an apocalyptic number.

464139360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464139360 is an abundant number, since it is smaller than the sum of its proper divisors (1119741120).

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

464139360 is a wasteful number, since it uses less digits than its factorization.

464139360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322340 (or 322329 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 464139360 is about 21543.8937984757. The cubic root of 464139360 is about 774.2528268858.

The spelling of 464139360 in words is "four hundred sixty-four million, one hundred thirty-nine thousand, three hundred sixty".