4790702400 has 336 divisors, whose sum is σ = 17572500288. Its totient is φ = 1132544000.

The previous prime is 4790702393. The next prime is 4790702429. The reversal of 4790702400 is 42070974.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2163694 + ... + 2165906.

It is an arithmetic number, because the mean of its divisors is an integer number (52299108).

Almost surely, 2^4790702400 is an apocalyptic number.

4790702400 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 4790702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8786250144).

4790702400 is an abundant number, since it is smaller than the sum of its proper divisors (12781797888).

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

4790702400 is a wasteful number, since it uses less digits than its factorization.

4790702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 4790702400 is about 69214.9001299576. The cubic root of 4790702400 is about 1685.7754739010.

The spelling of 4790702400 in words is "four billion, seven hundred ninety million, seven hundred two thousand, four hundred".