4628345200 has 240 divisors, whose sum is σ = 12449578176. Its totient is φ = 1644544000.

The previous prime is 4628345123. The next prime is 4628345209. The reversal of 4628345200 is 25438264.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4628345209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15796254 + ... + 15796546.

Almost surely, 2^4628345200 is an apocalyptic number.

4628345200 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 4628345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6224789088).

4628345200 is an abundant number, since it is smaller than the sum of its proper divisors (7821232976).

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

4628345200 is a wasteful number, since it uses less digits than its factorization.

4628345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 4628345200 is about 68031.9424976239. The cubic root of 4628345200 is about 1666.5125208550.

The spelling of 4628345200 in words is "four billion, six hundred twenty-eight million, three hundred forty-five thousand, two hundred".