4697816400 has 240 divisors, whose sum is σ = 16797049920. Its totient is φ = 1247040000.

The previous prime is 4697816393. The next prime is 4697816411. The reversal of 4697816400 is 46187964.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2709934 + ... + 2711666.

It is an arithmetic number, because the mean of its divisors is an integer number (69987708).

Almost surely, 2^4697816400 is an apocalyptic number.

4697816400 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 4697816400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8398524960).

4697816400 is an abundant number, since it is smaller than the sum of its proper divisors (12099233520).

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

4697816400 is a wasteful number, since it uses less digits than its factorization.

4697816400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1994 counting only the distinct ones).

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

The square root of 4697816400 is about 68540.6186140744. The cubic root of 4697816400 is about 1674.8092334908.

The spelling of 4697816400 in words is "four billion, six hundred ninety-seven million, eight hundred sixteen thousand, four hundred".