464163672 has 192 divisors, whose sum is σ = 1412104320. Its totient is φ = 126669312.

The previous prime is 464163653. The next prime is 464163731. The reversal of 464163672 is 276361464.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 464163672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3387988 + ... + 3388124.

It is an arithmetic number, because the mean of its divisors is an integer number (7354710).

Almost surely, 2^464163672 is an apocalyptic number.

464163672 is a gapful number since it is divisible by the number (42) 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 464163672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706052160).

464163672 is an abundant number, since it is smaller than the sum of its proper divisors (947940648).

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

464163672 is a wasteful number, since it uses less digits than its factorization.

464163672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 259 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 464163672 is about 21544.4580344923. The cubic root of 464163672 is about 774.2663453156.

The spelling of 464163672 in words is "four hundred sixty-four million, one hundred sixty-three thousand, six hundred seventy-two".