51410400 has 144 divisors (see below), whose sum is σ = 172988928. Its totient is φ = 13248000.

The previous prime is 51410383. The next prime is 51410407. The reversal of 51410400 is 401415.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 51410400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51410407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74055 + ... + 74745.

It is an arithmetic number, because the mean of its divisors is an integer number (1201312).

Almost surely, 2^51410400 is an apocalyptic number.

51410400 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 51410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86494464).

51410400 is an abundant number, since it is smaller than the sum of its proper divisors (121578528).

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

51410400 is a wasteful number, since it uses less digits than its factorization.

51410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 51410400 is about 7170.1046017475. The cubic root of 51410400 is about 371.8350523198.

Adding to 51410400 its reverse (401415), we get a palindrome (51811815).

The spelling of 51410400 in words is "fifty-one million, four hundred ten thousand, four hundred".