4792145600 has 336 divisors, whose sum is σ = 13691311200. Its totient is φ = 1634304000.

The previous prime is 4792145597. The next prime is 4792145627. The reversal of 4792145600 is 65412974.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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, 20926286 + ... + 20926514.

It is an arithmetic number, because the mean of its divisors is an integer number (40747950).

Almost surely, 2^4792145600 is an apocalyptic number.

4792145600 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 4792145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6845655600).

4792145600 is an abundant number, since it is smaller than the sum of its proper divisors (8899165600).

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

4792145600 is a wasteful number, since it uses less digits than its factorization.

4792145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 4792145600 is about 69225.3248457528. The cubic root of 4792145600 is about 1685.9447369650.

The spelling of 4792145600 in words is "four billion, seven hundred ninety-two million, one hundred forty-five thousand, six hundred".