5204146200 has 384 divisors, whose sum is σ = 18340611840. Its totient is φ = 1209600000.

The previous prime is 5204146177. The next prime is 5204146219. The reversal of 5204146200 is 26414025.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24664095 + ... + 24664305.

It is an arithmetic number, because the mean of its divisors is an integer number (47762010).

Almost surely, 2^5204146200 is an apocalyptic number.

5204146200 is a gapful number since it is divisible by the number (50) 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 5204146200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9170305920).

5204146200 is an abundant number, since it is smaller than the sum of its proper divisors (13136465640).

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

5204146200 is a wasteful number, since it uses less digits than its factorization.

5204146200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5204146200 is about 72139.7685053120. The cubic root of 5204146200 is about 1732.9385499662.

The spelling of 5204146200 in words is "five billion, two hundred four million, one hundred forty-six thousand, two hundred".