4790318400 has 1008 divisors, whose sum is σ = 21256020480. Its totient is φ = 1045094400.

The previous prime is 4790318387. The next prime is 4790318447. The reversal of 4790318400 is 48130974.

It is a happy number.

4790318400 is a `hidden beast` number, since 479 + 0 + 3 + 184 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65620764 + ... + 65620836.

Almost surely, 2^4790318400 is an apocalyptic number.

4790318400 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 4790318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10628010240).

4790318400 is an abundant number, since it is smaller than the sum of its proper divisors (16465702080).

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

4790318400 is a wasteful number, since it uses less digits than its factorization.

4790318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4790318400 is about 69212.1261051848. The cubic root of 4790318400 is about 1685.7304314400.

The spelling of 4790318400 in words is "four billion, seven hundred ninety million, three hundred eighteen thousand, four hundred".