4780410800 has 240 divisors, whose sum is σ = 13098875904. Its totient is φ = 1660800000.

The previous prime is 4780410797. The next prime is 4780410853. The reversal of 4780410800 is 80140874.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13776227 + ... + 13776573.

Almost surely, 2^4780410800 is an apocalyptic number.

4780410800 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 4780410800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549437952).

4780410800 is an abundant number, since it is smaller than the sum of its proper divisors (8318465104).

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

4780410800 is a wasteful number, since it uses less digits than its factorization.

4780410800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 4780410800 is about 69140.5148953926. The cubic root of 4780410800 is about 1684.5674558278.

The spelling of 4780410800 in words is "four billion, seven hundred eighty million, four hundred ten thousand, eight hundred".