5846422400 has 384 divisors, whose sum is σ = 18836919360. Its totient is φ = 1739980800.

The previous prime is 5846422391. The next prime is 5846422423. The reversal of 5846422400 is 42246485.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 4949810 + ... + 4950990.

Almost surely, 2^5846422400 is an apocalyptic number.

5846422400 is a gapful number since it is divisible by the number (50) 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 5846422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9418459680).

5846422400 is an abundant number, since it is smaller than the sum of its proper divisors (12990496960).

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

5846422400 is a wasteful number, since it uses less digits than its factorization.

5846422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The square root of 5846422400 is about 76461.9016242730. The cubic root of 5846422400 is about 1801.4825645632.

Adding to 5846422400 its reverse (42246485), we get a palindrome (5888668885).

The spelling of 5846422400 in words is "five billion, eight hundred forty-six million, four hundred twenty-two thousand, four hundred".