51458200 has 48 divisors (see below), whose sum is σ = 120115080. Its totient is φ = 20501760.

The previous prime is 51458191. The next prime is 51458219. The reversal of 51458200 is 285415.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91119 + ... + 91681.

Almost surely, 2^51458200 is an apocalyptic number.

51458200 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 51458200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60057540).

51458200 is an abundant number, since it is smaller than the sum of its proper divisors (68656880).

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

51458200 is a wasteful number, since it uses less digits than its factorization.

51458200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 51458200 is about 7173.4371120126. The cubic root of 51458200 is about 371.9502573486.

The spelling of 51458200 in words is "fifty-one million, four hundred fifty-eight thousand, two hundred".