4803629400 has 192 divisors, whose sum is σ = 17417040000. Its totient is φ = 1213522560.

The previous prime is 4803629357. The next prime is 4803629417. The reversal of 4803629400 is 49263084.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 79191 + ... + 126009.

It is an arithmetic number, because the mean of its divisors is an integer number (90713750).

Almost surely, 2^4803629400 is an apocalyptic number.

4803629400 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 4803629400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8708520000).

4803629400 is an abundant number, since it is smaller than the sum of its proper divisors (12613410600).

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

4803629400 is a wasteful number, since it uses less digits than its factorization.

4803629400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46863 (or 46848 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4803629400 is about 69308.2202916797. The cubic root of 4803629400 is about 1687.2903838397.

The spelling of 4803629400 in words is "four billion, eight hundred three million, six hundred twenty-nine thousand, four hundred".