4610581248 has 288 divisors, whose sum is σ = 15519486976. Its totient is φ = 1182449664.

The previous prime is 4610581207. The next prime is 4610581267. The reversal of 4610581248 is 8421850164.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2584965 + ... + 2586747.

Almost surely, 2^4610581248 is an apocalyptic number.

4610581248 is a gapful number since it is divisible by the number (48) 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 4610581248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7759743488).

4610581248 is an abundant number, since it is smaller than the sum of its proper divisors (10908905728).

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

4610581248 is a wasteful number, since it uses less digits than its factorization.

4610581248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 4610581248 is about 67901.2610192182. The cubic root of 4610581248 is about 1664.3777187406.

The spelling of 4610581248 in words is "four billion, six hundred ten million, five hundred eighty-one thousand, two hundred forty-eight".