4802360400 has 420 divisors, whose sum is σ = 17747102208. Its totient is φ = 1247581440.

The previous prime is 4802360393. The next prime is 4802360441. The reversal of 4802360400 is 40632084.

It is a super-3 number, since 3×4802360400³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 83 ways as a sum of consecutive naturals, for example, 12538609 + ... + 12538991.

Almost surely, 2^4802360400 is an apocalyptic number.

4802360400 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 4802360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8873551104).

4802360400 is an abundant number, since it is smaller than the sum of its proper divisors (12944741808).

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

4802360400 is a wasteful number, since it uses less digits than its factorization.

4802360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4802360400 is about 69299.0649287564. The cubic root of 4802360400 is about 1687.1417906342.

Adding to 4802360400 its reverse (40632084), we get a palindrome (4842992484).

The spelling of 4802360400 in words is "four billion, eight hundred two million, three hundred sixty thousand, four hundred".