4649241600 has 396 divisors, whose sum is σ = 17640538344. Its totient is φ = 1165885440.

The previous prime is 4649241563. The next prime is 4649241601. The reversal of 4649241600 is 61429464.

4649241600 is a `hidden beast` number, since 4 + 6 + 4 + 9 + 2 + 41 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4649241601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3916207 + ... + 3917393.

It is an arithmetic number, because the mean of its divisors is an integer number (44546814).

Almost surely, 2^4649241600 is an apocalyptic number.

4649241600 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 4649241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8820269172).

4649241600 is an abundant number, since it is smaller than the sum of its proper divisors (12991296744).

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

4649241600 is a wasteful number, since it uses less digits than its factorization.

4649241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4649241600 is about 68185.3473995697. The cubic root of 4649241600 is about 1669.0167877122.

The spelling of 4649241600 in words is "four billion, six hundred forty-nine million, two hundred forty-one thousand, six hundred".