4146912 has 216 divisors, whose sum is σ = 15685488. Its totient is φ = 1013760.

The previous prime is 4146907. The next prime is 4146917. The reversal of 4146912 is 2196414.

It is an interprime number because it is at equal distance from previous prime (4146907) and next prime (4146917).

It is a super-3 number, since 3×4146912³ (a number of 21 digits) contains 333 as substring.

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 (4146917) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243928 + ... + 243944.

It is an arithmetic number, because the mean of its divisors is an integer number (72618).

Almost surely, 2^4146912 is an apocalyptic number.

4146912 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 4146912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842744).

4146912 is an abundant number, since it is smaller than the sum of its proper divisors (11538576).

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

4146912 is a wasteful number, since it uses less digits than its factorization.

4146912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 40 counting only the distinct ones).

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

The square root of 4146912 is about 2036.3968179115. The cubic root of 4146912 is about 160.6601888617.

Adding to 4146912 its product of digits (1728), we get a triangular number (4148640 = T₂₈₈₀).

The spelling of 4146912 in words is "four million, one hundred forty-six thousand, nine hundred twelve".