4605422400 has 336 divisors, whose sum is σ = 17778862080. Its totient is φ = 1155686400.

The previous prime is 4605422377. The next prime is 4605422441. The reversal of 4605422400 is 42245064.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 731265 + ... + 737535.

It is an arithmetic number, because the mean of its divisors is an integer number (52913280).

Almost surely, 2^4605422400 is an apocalyptic number.

4605422400 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 4605422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8889431040).

4605422400 is an abundant number, since it is smaller than the sum of its proper divisors (13173439680).

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

4605422400 is a wasteful number, since it uses less digits than its factorization.

4605422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6319 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4605422400 is about 67863.2625210430. The cubic root of 4605422400 is about 1663.7567213991.

Adding to 4605422400 its reverse (42245064), we get a palindrome (4647667464).

The spelling of 4605422400 in words is "four billion, six hundred five million, four hundred twenty-two thousand, four hundred".