4950205920 has 384 divisors, whose sum is σ = 19173127680. Its totient is φ = 1182781440.

The previous prime is 4950205919. The next prime is 4950205921. The reversal of 4950205920 is 295020594.

It is a happy number.

4950205920 is a `hidden beast` number, since 49 + 5 + 0 + 20 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4950205919) and next prime (4950205921).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4950205921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3468247 + ... + 3469673.

It is an arithmetic number, because the mean of its divisors is an integer number (49930020).

Almost surely, 2^4950205920 is an apocalyptic number.

4950205920 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 4950205920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9586563840).

4950205920 is an abundant number, since it is smaller than the sum of its proper divisors (14222921760).

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

4950205920 is a wasteful number, since it uses less digits than its factorization.

4950205920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 4950205920 is about 70357.6997918494. The cubic root of 4950205920 is about 1704.2805528937.

The spelling of 4950205920 in words is "four billion, nine hundred fifty million, two hundred five thousand, nine hundred twenty".