51290400 has 288 divisors, whose sum is σ = 197987328. Its totient is φ = 11289600.

The previous prime is 51290387. The next prime is 51290429. The reversal of 51290400 is 409215.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 722365 + ... + 722435.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 2^51290400 is an apocalyptic number.

51290400 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 51290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98993664).

51290400 is an abundant number, since it is smaller than the sum of its proper divisors (146696928).

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

51290400 is a wasteful number, since it uses less digits than its factorization.

51290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 51290400 is about 7161.7316341790. The cubic root of 51290400 is about 371.5455196685.

Adding to 51290400 its reverse (409215), we get a palindrome (51699615).

The spelling of 51290400 in words is "fifty-one million, two hundred ninety thousand, four hundred".