4792096400 has 480 divisors, whose sum is σ = 15369849600. Its totient is φ = 1401753600.

The previous prime is 4792096369. The next prime is 4792096469. The reversal of 4792096400 is 46902974.

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 116880380 + ... + 116880420.

It is an arithmetic number, because the mean of its divisors is an integer number (32020520).

Almost surely, 2^4792096400 is an apocalyptic number.

4792096400 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 4792096400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7684924800).

4792096400 is an abundant number, since it is smaller than the sum of its proper divisors (10577753200).

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

4792096400 is a wasteful number, since it uses less digits than its factorization.

4792096400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 4792096400 is about 69224.9694835613. The cubic root of 4792096400 is about 1685.9389671928.

The spelling of 4792096400 in words is "four billion, seven hundred ninety-two million, ninety-six thousand, four hundred".