4200840 has 96 divisors (see below), whose sum is σ = 15612480. Its totient is φ = 959616.

The previous prime is 4200827. The next prime is 4200863. The reversal of 4200840 is 480024.

4200840 = T₃₅₉ + T₃₆₀ + ... + T₄₁₄.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1687 + ... + 3353.

It is an arithmetic number, because the mean of its divisors is an integer number (162630).

Almost surely, 2^4200840 is an apocalyptic number.

4200840 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 4200840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806240).

4200840 is an abundant number, since it is smaller than the sum of its proper divisors (11411640).

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

4200840 is a wasteful number, since it uses less digits than its factorization.

4200840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4200840 is about 2049.5950819613. The cubic root of 4200840 is about 161.3536200764.

Adding to 4200840 its reverse (480024), we get a palindrome (4680864).

The spelling of 4200840 in words is "four million, two hundred thousand, eight hundred forty".