51078384 has 240 divisors, whose sum is σ = 180940800. Its totient is φ = 13716864.

The previous prime is 51078371. The next prime is 51078407. The reversal of 51078384 is 48387015.

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

It is a congruent number.

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, 402129 + ... + 402255.

It is an arithmetic number, because the mean of its divisors is an integer number (753920).

Almost surely, 2^51078384 is an apocalyptic number.

51078384 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 51078384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90470400).

51078384 is an abundant number, since it is smaller than the sum of its proper divisors (129862416).

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

51078384 is a wasteful number, since it uses less digits than its factorization.

51078384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 51078384 is about 7146.9142991923. The cubic root of 51078384 is about 371.0328676233.

The spelling of 51078384 in words is "fifty-one million, seventy-eight thousand, three hundred eighty-four".