4638420 has 72 divisors (see below), whose sum is σ = 14303016. Its totient is φ = 1216512.

The previous prime is 4638419. The next prime is 4638449. The reversal of 4638420 is 248364.

4638420 is a `hidden beast` number, since 4 + 638 + 4 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 427716 + 4210704 = 654^2 + 2052^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12964 + ... + 13316.

It is an arithmetic number, because the mean of its divisors is an integer number (198653).

Almost surely, 2^4638420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4638420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7151508).

4638420 is an abundant number, since it is smaller than the sum of its proper divisors (9664596).

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

4638420 is a wasteful number, since it uses less digits than its factorization.

4638420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4638420 is about 2153.6991433346. The cubic root of 4638420 is about 166.7720844196.

The spelling of 4638420 in words is "four million, six hundred thirty-eight thousand, four hundred twenty".