4836812400 has 480 divisors, whose sum is σ = 19860871680. Its totient is φ = 1095137280.

The previous prime is 4836812371. The next prime is 4836812429. The reversal of 4836812400 is 42186384.

It is an interprime number because it is at equal distance from previous prime (4836812371) and next prime (4836812429).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10356967 + ... + 10357433.

It is an arithmetic number, because the mean of its divisors is an integer number (41376816).

Almost surely, 2^4836812400 is an apocalyptic number.

4836812400 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 4836812400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9930435840).

4836812400 is an abundant number, since it is smaller than the sum of its proper divisors (15024059280).

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

4836812400 is a wasteful number, since it uses less digits than its factorization.

4836812400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4836812400 is about 69547.1954862308. The cubic root of 4836812400 is about 1691.1666838667.

Adding to 4836812400 its reverse (42186384), we get a palindrome (4878998784).

The spelling of 4836812400 in words is "four billion, eight hundred thirty-six million, eight hundred twelve thousand, four hundred".