4619225600 has 240 divisors, whose sum is σ = 12741014880. Its totient is φ = 1645363200.

The previous prime is 4619225563. The next prime is 4619225609. The reversal of 4619225600 is 65229164.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4619225609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7462091 + ... + 7462709.

It is an arithmetic number, because the mean of its divisors is an integer number (53087562).

Almost surely, 2^4619225600 is an apocalyptic number.

4619225600 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 4619225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370507440).

4619225600 is an abundant number, since it is smaller than the sum of its proper divisors (8121789280).

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

4619225600 is a wasteful number, since it uses less digits than its factorization.

4619225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 4619225600 is about 67964.8850510321. The cubic root of 4619225600 is about 1665.4172467150.

The spelling of 4619225600 in words is "four billion, six hundred nineteen million, two hundred twenty-five thousand, six hundred".