4794422400 has 480 divisors, whose sum is σ = 18077944500. Its totient is φ = 1250795520.

The previous prime is 4794422393. The next prime is 4794422441. The reversal of 4794422400 is 42244974.

It can be written as a sum of positive squares in 6 ways, for example, as 2846435904 + 1947986496 = 53352^2 + 44136^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4794422400² = 45972972299243520000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13737426 + ... + 13737774.

Almost surely, 2^4794422400 is an apocalyptic number.

4794422400 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 4794422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9038972250).

4794422400 is an abundant number, since it is smaller than the sum of its proper divisors (13283522100).

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

4794422400 is a wasteful number, since it uses less digits than its factorization.

4794422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4794422400 is about 69241.7677417323. The cubic root of 4794422400 is about 1686.2116981931.

The spelling of 4794422400 in words is "four billion, seven hundred ninety-four million, four hundred twenty-two thousand, four hundred".