4690086400 has 240 divisors, whose sum is σ = 12330014400. Its totient is φ = 1764392960.

The previous prime is 4690086397. The next prime is 4690086413. The reversal of 4690086400 is 46800964.

It is a self number, because there is not a number n which added to its sum of digits gives 4690086400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26201511 + ... + 26201689.

It is an arithmetic number, because the mean of its divisors is an integer number (51375060).

Almost surely, 2^4690086400 is an apocalyptic number.

4690086400 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 4690086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165007200).

4690086400 is an abundant number, since it is smaller than the sum of its proper divisors (7639928000).

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

4690086400 is a wasteful number, since it uses less digits than its factorization.

4690086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 4690086400 is about 68484.2054783437. The cubic root of 4690086400 is about 1673.8901268558.

The spelling of 4690086400 in words is "four billion, six hundred ninety million, eighty-six thousand, four hundred".