4646752290 has 288 divisors, whose sum is σ = 13865230080. Its totient is φ = 1075313664.

The previous prime is 4646752277. The next prime is 4646752291. The reversal of 4646752290 is 922576464.

4646752290 is a `hidden beast` number, since 4 + 64 + 67 + 522 + 9 + 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 (4646752291) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25959421 + ... + 25959599.

It is an arithmetic number, because the mean of its divisors is an integer number (48143160).

Almost surely, 2^4646752290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4646752290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6932615040).

4646752290 is an abundant number, since it is smaller than the sum of its proper divisors (9218477790).

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

4646752290 is a wasteful number, since it uses less digits than its factorization.

4646752290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4646752290 is about 68167.0909603747. The cubic root of 4646752290 is about 1668.7188579805.

The spelling of 4646752290 in words is "four billion, six hundred forty-six million, seven hundred fifty-two thousand, two hundred ninety".