4461912 has 128 divisors (see below), whose sum is σ = 15321600. Its totient is φ = 1171584.

The previous prime is 4461901. The next prime is 4461913. The reversal of 4461912 is 2191644.

4461912 is a `hidden beast` number, since 44 + 619 + 1 + 2 = 666.

It is a super-3 number, since 3×4461912³ (a number of 21 digits) contains 333 as substring.

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 not an unprimeable number, because it can be changed into a prime (4461913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19543 + ... + 19769.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

Almost surely, 2^4461912 is an apocalyptic number.

4461912 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 4461912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660800).

4461912 is an abundant number, since it is smaller than the sum of its proper divisors (10859688).

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

4461912 is a wasteful number, since it uses less digits than its factorization.

4461912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 4461912 is about 2112.3238388088. The cubic root of 4461912 is about 164.6292502055.

The spelling of 4461912 in words is "four million, four hundred sixty-one thousand, nine hundred twelve".