610488000 has 336 divisors, whose sum is σ = 2235586080. Its totient is φ = 158976000.

The previous prime is 610487989. The next prime is 610488007. The reversal of 610488000 is 884016.

610488000 is a `hidden beast` number, since 610 + 48 + 8 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (610488007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4391931 + ... + 4392069.

It is an arithmetic number, because the mean of its divisors is an integer number (6653530).

Almost surely, 2^610488000 is an apocalyptic number.

610488000 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 610488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117793040).

610488000 is an abundant number, since it is smaller than the sum of its proper divisors (1625098080).

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

610488000 is a wasteful number, since it uses less digits than its factorization.

610488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

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

The square root of 610488000 is about 24708.0553666208. The cubic root of 610488000 is about 848.3187065958.

The spelling of 610488000 in words is "six hundred ten million, four hundred eighty-eight thousand".