51998400 has 252 divisors, whose sum is σ = 194078352. Its totient is φ = 13178880.

The previous prime is 51998399. The next prime is 51998407. The reversal of 51998400 is 489915.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51998407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 331122 + ... + 331278.

Almost surely, 2^51998400 is an apocalyptic number.

51998400 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 51998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97039176).

51998400 is an abundant number, since it is smaller than the sum of its proper divisors (142079952).

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

51998400 is a wasteful number, since it uses less digits than its factorization.

51998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 51998400 is about 7210.9916100353. The cubic root of 51998400 is about 373.2472874259.

The spelling of 51998400 in words is "fifty-one million, nine hundred ninety-eight thousand, four hundred".