4685990400 has 960 divisors, whose sum is σ = 21311136000. Its totient is φ = 982056960.

The previous prime is 4685990383. The next prime is 4685990429. The reversal of 4685990400 is 40995864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 31449526 + ... + 31449674.

It is an arithmetic number, because the mean of its divisors is an integer number (22199100).

Almost surely, 2^4685990400 is an apocalyptic number.

4685990400 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 4685990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10655568000).

4685990400 is an abundant number, since it is smaller than the sum of its proper divisors (16625145600).

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

4685990400 is a wasteful number, since it uses less digits than its factorization.

4685990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4685990400 is about 68454.2942407560. The cubic root of 4685990400 is about 1673.4026979636.

The spelling of 4685990400 in words is "four billion, six hundred eighty-five million, nine hundred ninety thousand, four hundred".