4904202240 has 624 divisors, whose sum is σ = 20393624160. Its totient is φ = 1114767360.

The previous prime is 4904202239. The next prime is 4904202319. The reversal of 4904202240 is 422024094.

It is a super-2 number, since 2×4904202240² = 48102399221642035200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27094950 + ... + 27095130.

It is an arithmetic number, because the mean of its divisors is an integer number (32682090).

Almost surely, 2^4904202240 is an apocalyptic number.

4904202240 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 4904202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10196812080).

4904202240 is an abundant number, since it is smaller than the sum of its proper divisors (15489421920).

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

4904202240 is a wasteful number, since it uses less digits than its factorization.

4904202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 198 counting only the distinct ones).

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

The square root of 4904202240 is about 70030.0095673276. The cubic root of 4904202240 is about 1698.9846578265.

The spelling of 4904202240 in words is "four billion, nine hundred four million, two hundred two thousand, two hundred forty".