51958200 has 192 divisors, whose sum is σ = 187488000. Its totient is φ = 11658240.

The previous prime is 51958199. The next prime is 51958223. The reversal of 51958200 is 285915.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 373731 + ... + 373869.

It is an arithmetic number, because the mean of its divisors is an integer number (976500).

Almost surely, 2^51958200 is an apocalyptic number.

51958200 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 51958200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744000).

51958200 is an abundant number, since it is smaller than the sum of its proper divisors (135529800).

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

51958200 is a wasteful number, since it uses less digits than its factorization.

51958200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 51958200 is about 7208.2036597199. The cubic root of 51958200 is about 373.1510767137.

The spelling of 51958200 in words is "fifty-one million, nine hundred fifty-eight thousand, two hundred".