4215040 has 72 divisors (see below), whose sum is σ = 10485720. Its totient is φ = 1622016.

The previous prime is 4215023. The next prime is 4215041. The reversal of 4215040 is 405124.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 3625216 = 768^2 + 1904^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4215041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47316 + ... + 47404.

It is an arithmetic number, because the mean of its divisors is an integer number (145635).

Almost surely, 2^4215040 is an apocalyptic number.

4215040 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 4215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242860).

4215040 is an abundant number, since it is smaller than the sum of its proper divisors (6270680).

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

4215040 is an equidigital number, since it uses as much as digits as its factorization.

4215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 4215040 is about 2053.0562583622. The cubic root of 4215040 is about 161.5352222154.

The spelling of 4215040 in words is "four million, two hundred fifteen thousand, forty".