610800480 has 192 divisors, whose sum is σ = 2263826880. Its totient is φ = 153280512.

The previous prime is 610800431. The next prime is 610800511. The reversal of 610800480 is 84008016.

610800480 is a `hidden beast` number, since 610 + 8 + 0 + 0 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 69282 + ... + 77598.

It is an arithmetic number, because the mean of its divisors is an integer number (11790765).

Almost surely, 2^610800480 is an apocalyptic number.

610800480 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 610800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131913440).

610800480 is an abundant number, since it is smaller than the sum of its proper divisors (1653026400).

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

610800480 is a wasteful number, since it uses less digits than its factorization.

610800480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8358 (or 8344 counting only the distinct ones).

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

The square root of 610800480 is about 24714.3780014792. The cubic root of 610800480 is about 848.4634200134.

Adding to 610800480 its reverse (84008016), we get a palindrome (694808496).

The spelling of 610800480 in words is "six hundred ten million, eight hundred thousand, four hundred eighty".