4817966400 has 672 divisors, whose sum is σ = 19789566720. Its totient is φ = 1131356160.

The previous prime is 4817966393. The next prime is 4817966437. The reversal of 4817966400 is 46697184.

4817966400 is a `hidden beast` number, since 481 + 79 + 66 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12916614 + ... + 12916986.

It is an arithmetic number, because the mean of its divisors is an integer number (29448760).

Almost surely, 2^4817966400 is an apocalyptic number.

4817966400 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 4817966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9894783360).

4817966400 is an abundant number, since it is smaller than the sum of its proper divisors (14971600320).

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

4817966400 is a wasteful number, since it uses less digits than its factorization.

4817966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4817966400 is about 69411.5725221666. The cubic root of 4817966400 is about 1688.9673557982.

The spelling of 4817966400 in words is "four billion, eight hundred seventeen million, nine hundred sixty-six thousand, four hundred".