4461264 has 80 divisors (see below), whose sum is σ = 13392000. Its totient is φ = 1419264.

The previous prime is 4461253. The next prime is 4461277. The reversal of 4461264 is 4621644.

4461264 is a `hidden beast` number, since 44 + 612 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9712 + ... + 10160.

It is an arithmetic number, because the mean of its divisors is an integer number (167400).

Almost surely, 2^4461264 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 4461264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696000).

4461264 is an abundant number, since it is smaller than the sum of its proper divisors (8930736).

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

4461264 is a wasteful number, since it uses less digits than its factorization.

4461264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 477 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4461264 is about 2112.1704476675. The cubic root of 4461264 is about 164.6212801604.

The spelling of 4461264 in words is "four million, four hundred sixty-one thousand, two hundred sixty-four".