4790210400 has 432 divisors, whose sum is σ = 17974193328. Its totient is φ = 1244160000.

The previous prime is 4790210393. The next prime is 4790210423. The reversal of 4790210400 is 40120974.

It is a happy number.

4790210400 is a `hidden beast` number, since 47 + 9 + 0 + 210 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×4790210400² = 45892231352536320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7970100 + ... + 7970700.

It is an arithmetic number, because the mean of its divisors is an integer number (41606929).

Almost surely, 2^4790210400 is an apocalyptic number.

4790210400 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 4790210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8987096664).

4790210400 is an abundant number, since it is smaller than the sum of its proper divisors (13183982928).

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

4790210400 is a wasteful number, since it uses less digits than its factorization.

4790210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4790210400 is about 69211.3458906847. The cubic root of 4790210400 is about 1685.7177628141.

The spelling of 4790210400 in words is "four billion, seven hundred ninety million, two hundred ten thousand, four hundred".