610400000 has 216 divisors, whose sum is σ = 1756450080. Its totient is φ = 207360000.

The previous prime is 610399987. The next prime is 610400027. The reversal of 610400000 is 4016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5599946 + ... + 5600054.

Almost surely, 2^610400000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878225040).

610400000 is an abundant number, since it is smaller than the sum of its proper divisors (1146050080).

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

610400000 is an frugal number, since it uses more digits than its factorization.

610400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 610400000 is about 24706.2745066916. The cubic root of 610400000 is about 848.2779437780.

Adding to 610400000 its reverse (4016), we get a palindrome (610404016).

The spelling of 610400000 in words is "six hundred ten million, four hundred thousand".