51451400 has 192 divisors, whose sum is σ = 161239680. Its totient is φ = 14745600.

The previous prime is 51451369. The next prime is 51451409. The reversal of 51451400 is 415415.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (51451409) 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, 200072 + ... + 200328.

It is an arithmetic number, because the mean of its divisors is an integer number (839790).

Almost surely, 2^51451400 is an apocalyptic number.

51451400 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 51451400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80619840).

51451400 is an abundant number, since it is smaller than the sum of its proper divisors (109788280).

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

51451400 is a wasteful number, since it uses less digits than its factorization.

51451400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 51451400 is about 7172.9631255151. The cubic root of 51451400 is about 371.9338727026.

Adding to 51451400 its reverse (415415), we get a palindrome (51866815).

It can be divided in two parts, 514 and 51400, that multiplied together give a square (26419600 = 5140²).

The spelling of 51451400 in words is "fifty-one million, four hundred fifty-one thousand, four hundred".