4146920 has 32 divisors (see below), whose sum is σ = 9551520. Its totient is φ = 1619520.

The previous prime is 4146917. The next prime is 4146943. The reversal of 4146920 is 296414.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4146920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 515 + ... + 2925.

It is an arithmetic number, because the mean of its divisors is an integer number (298485).

Almost surely, 2^4146920 is an apocalyptic number.

4146920 is a gapful number since it is divisible by the number (40) 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 4146920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775760).

4146920 is an abundant number, since it is smaller than the sum of its proper divisors (5404600).

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

4146920 is a wasteful number, since it uses less digits than its factorization.

4146920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 4146920 is about 2036.3987821642. The cubic root of 4146920 is about 160.6602921740.

The spelling of 4146920 in words is "four million, one hundred forty-six thousand, nine hundred twenty".