4146520 has 64 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 1392000.

The previous prime is 4146517. The next prime is 4146539. The reversal of 4146520 is 256414.

4146520 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4146520² = 34387256220800, which contains 22 as substring.

4146520 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 4146491 and 4146500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16395 + ... + 16645.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 2^4146520 is an apocalyptic number.

4146520 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 4146520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

4146520 is an abundant number, since it is smaller than the sum of its proper divisors (6739880).

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

4146520 is a wasteful number, since it uses less digits than its factorization.

4146520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4146520 is about 2036.3005672051. The cubic root of 4146520 is about 160.6551263976.

The spelling of 4146520 in words is "four million, one hundred forty-six thousand, five hundred twenty".