4645200 has 180 divisors, whose sum is σ = 17528640. Its totient is φ = 1048320.

The previous prime is 4645187. The next prime is 4645231. The reversal of 4645200 is 25464.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58761 + ... + 58839.

Almost surely, 2^4645200 is an apocalyptic number.

4645200 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 4645200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8764320).

4645200 is an abundant number, since it is smaller than the sum of its proper divisors (12883440).

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

4645200 is a wasteful number, since it uses less digits than its factorization.

4645200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4645200 is about 2155.2726045677. The cubic root of 4645200 is about 166.8533020365.

The spelling of 4645200 in words is "four million, six hundred forty-five thousand, two hundred".