610228800 has 252 divisors, whose sum is σ = 2240499456. Its totient is φ = 157363200.

The previous prime is 610228771. The next prime is 610228813. The reversal of 610228800 is 8822016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 445717 + ... + 447083.

Almost surely, 2^610228800 is an apocalyptic number.

610228800 is a gapful number since it is divisible by the number (60) 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 610228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120249728).

610228800 is an abundant number, since it is smaller than the sum of its proper divisors (1630270656).

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

610228800 is a wasteful number, since it uses less digits than its factorization.

610228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 610228800 is about 24702.8095568095. The cubic root of 610228800 is about 848.1986303424.

The spelling of 610228800 in words is "six hundred ten million, two hundred twenty-eight thousand, eight hundred".