51977464 has 64 divisors (see below), whose sum is σ = 127929600. Its totient is φ = 19180800.

The previous prime is 51977459. The next prime is 51977501. The reversal of 51977464 is 46477915.

51977464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 51977464.

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 15 ways as a sum of consecutive naturals, for example, 9484 + ... + 13924.

It is an arithmetic number, because the mean of its divisors is an integer number (1998900).

Almost surely, 2^51977464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51977464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63964800).

51977464 is an abundant number, since it is smaller than the sum of its proper divisors (75952136).

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

51977464 is a wasteful number, since it uses less digits than its factorization.

51977464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4480 counting only the distinct ones).

The product of its digits is 211680, while the sum is 43.

The square root of 51977464 is about 7209.5397911379. The cubic root of 51977464 is about 373.1971874600.

It can be divided in two parts, 51977 and 464, that added together give a square (52441 = 229²).

The spelling of 51977464 in words is "fifty-one million, nine hundred seventy-seven thousand, four hundred sixty-four".