464713216 has 80 divisors (see below), whose sum is σ = 1023572880. Its totient is φ = 209018880.

The previous prime is 464713181. The next prime is 464713217. The reversal of 464713216 is 612317464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464713217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 613510 + ... + 614266.

It is an arithmetic number, because the mean of its divisors is an integer number (12794661).

Almost surely, 2^464713216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464713216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511786440).

464713216 is an abundant number, since it is smaller than the sum of its proper divisors (558859664).

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

464713216 is a wasteful number, since it uses less digits than its factorization.

464713216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 879 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 464713216 is about 21557.2079824823. The cubic root of 464713216 is about 774.5717875840.

The spelling of 464713216 in words is "four hundred sixty-four million, seven hundred thirteen thousand, two hundred sixteen".