51396444 has 216 divisors, whose sum is σ = 162664320. Its totient is φ = 14113440.

The previous prime is 51396413. The next prime is 51396461. The reversal of 51396444 is 44469315.

51396444 is a `hidden beast` number, since 5 + 1 + 3 + 9 + 644 + 4 = 666.

51396444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 51396399 and 51396408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2234617 + ... + 2234639.

Almost surely, 2^51396444 is an apocalyptic number.

51396444 is a gapful number since it is divisible by the number (54) 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 51396444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81332160).

51396444 is an abundant number, since it is smaller than the sum of its proper divisors (111267876).

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

51396444 is a wasteful number, since it uses less digits than its factorization.

51396444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 51396444 is about 7169.1313281317. The cubic root of 51396444 is about 371.8014028401.

It can be divided in two parts, 51 and 396444, that added together give a triangular number (396495 = T₈₉₀).

The spelling of 51396444 in words is "fifty-one million, three hundred ninety-six thousand, four hundred forty-four".