4638909240 has 192 divisors, whose sum is σ = 17258342400. Its totient is φ = 1058593536.

The previous prime is 4638909229. The next prime is 4638909241. The reversal of 4638909240 is 429098364.

4638909240 is a `hidden beast` number, since 4 + 638 + 9 + 0 + 9 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4638909241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2163609 + ... + 2165751.

It is an arithmetic number, because the mean of its divisors is an integer number (89887200).

Almost surely, 2^4638909240 is an apocalyptic number.

4638909240 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 4638909240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8629171200).

4638909240 is an abundant number, since it is smaller than the sum of its proper divisors (12619433160).

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

4638909240 is a wasteful number, since it uses less digits than its factorization.

4638909240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4638909240 is about 68109.5385390328. The cubic root of 4638909240 is about 1667.7794767380.

The spelling of 4638909240 in words is "four billion, six hundred thirty-eight million, nine hundred nine thousand, two hundred forty".