461167664 has 40 divisors (see below), whose sum is σ = 940996320. Its totient is φ = 218515968.

The previous prime is 461167621. The next prime is 461167691. The reversal of 461167664 is 466761164.

It is a super-2 number, since 2×461167664² = 425351228638433792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34364 + ... + 45860.

It is an arithmetic number, because the mean of its divisors is an integer number (23524908).

Almost surely, 2^461167664 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 461167664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470498160).

461167664 is an abundant number, since it is smaller than the sum of its proper divisors (479828656).

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

461167664 is a wasteful number, since it uses less digits than its factorization.

461167664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11637 (or 11631 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 461167664 is about 21474.8146441360. The cubic root of 461167664 is about 772.5968788196.

The spelling of 461167664 in words is "four hundred sixty-one million, one hundred sixty-seven thousand, six hundred sixty-four".