4832253090 has 288 divisors, whose sum is σ = 15563845440. Its totient is φ = 1034208000.

The previous prime is 4832253053. The next prime is 4832253143. The reversal of 4832253090 is 903522384.

4832253090 is a `hidden beast` number, since 4 + 8 + 32 + 2 + 530 + 90 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8462505 + ... + 8463075.

It is an arithmetic number, because the mean of its divisors is an integer number (54041130).

Almost surely, 2^4832253090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4832253090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7781922720).

4832253090 is an abundant number, since it is smaller than the sum of its proper divisors (10731592350).

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

4832253090 is a wasteful number, since it uses less digits than its factorization.

4832253090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4832253090 is about 69514.4092257138. The cubic root of 4832253090 is about 1690.6351370179.

The spelling of 4832253090 in words is "four billion, eight hundred thirty-two million, two hundred fifty-three thousand, ninety".