51978300 has 144 divisors (see below), whose sum is σ = 172905600. Its totient is φ = 11923200.

The previous prime is 51978293. The next prime is 51978301. The reversal of 51978300 is 387915.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51978301) 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, 62286 + ... + 63114.

Almost surely, 2^51978300 is an apocalyptic number.

51978300 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 51978300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86452800).

51978300 is an abundant number, since it is smaller than the sum of its proper divisors (120927300).

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

51978300 is a wasteful number, since it uses less digits than its factorization.

51978300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 51978300 is about 7209.5977696401. The cubic root of 51978300 is about 373.1991882706.

The spelling of 51978300 in words is "fifty-one million, nine hundred seventy-eight thousand, three hundred".