464736 has 48 divisors (see below), whose sum is σ = 1257984. Its totient is φ = 150144.

The previous prime is 464699. The next prime is 464741. The reversal of 464736 is 637464.

It is a tau number, because it is divible by the number of its divisors (48).

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

464736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4461 + ... + 4563.

It is an arithmetic number, because the mean of its divisors is an integer number (26208).

2⁴⁶⁴⁷³⁶ 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 464736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992).

464736 is an abundant number, since it is smaller than the sum of its proper divisors (793248).

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

464736 is a wasteful number, since it uses less digits than its factorization.

464736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 464736 is about 681.7154831746. The cubic root of 464736 is about 77.4584445968.

The spelling of 464736 in words is "four hundred sixty-four thousand, seven hundred thirty-six".