464271360 has 384 divisors, whose sum is σ = 1811496960. Its totient is φ = 99090432.

The previous prime is 464271359. The next prime is 464271389. The reversal of 464271360 is 63172464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3655617 + ... + 3655743.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2^464271360 is an apocalyptic number.

464271360 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 464271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905748480).

464271360 is an abundant number, since it is smaller than the sum of its proper divisors (1347225600).

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

464271360 is a wasteful number, since it uses less digits than its factorization.

464271360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 464271360 is about 21546.9570937522. The cubic root of 464271360 is about 774.3262184106.

The spelling of 464271360 in words is "four hundred sixty-four million, two hundred seventy-one thousand, three hundred sixty".