4823366400 has 432 divisors, whose sum is σ = 17924408320. Its totient is φ = 1269043200.

The previous prime is 4823366377. The next prime is 4823366411. The reversal of 4823366400 is 46633284.

It is a happy number.

4823366400 is a `hidden beast` number, since 4 + 8 + 2 + 3 + 3 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 17798265 + ... + 17798535.

Almost surely, 2^4823366400 is an apocalyptic number.

4823366400 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 4823366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8962204160).

4823366400 is an abundant number, since it is smaller than the sum of its proper divisors (13101041920).

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

4823366400 is a wasteful number, since it uses less digits than its factorization.

4823366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4823366400 is about 69450.4600416729. The cubic root of 4823366400 is about 1689.5981211239.

Adding to 4823366400 its reverse (46633284), we get a palindrome (4869999684).

The spelling of 4823366400 in words is "four billion, eight hundred twenty-three million, three hundred sixty-six thousand, four hundred".