4806032400 has 240 divisors, whose sum is σ = 18422293120. Its totient is φ = 1182988800.

The previous prime is 4806032383. The next prime is 4806032449. The reversal of 4806032400 is 42306084.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×4806032400³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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, 123285 + ... + 157515.

Almost surely, 2^4806032400 is an apocalyptic number.

4806032400 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 4806032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9211146560).

4806032400 is an abundant number, since it is smaller than the sum of its proper divisors (13616260720).

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

4806032400 is a wasteful number, since it uses less digits than its factorization.

4806032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34271 (or 34254 counting only the distinct ones).

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

The square root of 4806032400 is about 69325.5537302083. The cubic root of 4806032400 is about 1687.5716907814.

Adding to 4806032400 its reverse (42306084), we get a palindrome (4848338484).

The spelling of 4806032400 in words is "four billion, eight hundred six million, thirty-two thousand, four hundred".