51477264 has 120 divisors (see below), whose sum is σ = 150302880. Its totient is φ = 16436736.

The previous prime is 51477247. The next prime is 51477271. The reversal of 51477264 is 46277415.

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

It is an unprimeable number.

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, 620167 + ... + 620249.

It is an arithmetic number, because the mean of its divisors is an integer number (1252524).

Almost surely, 2^51477264 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 51477264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75151440).

51477264 is an abundant number, since it is smaller than the sum of its proper divisors (98825616).

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

51477264 is a wasteful number, since it uses less digits than its factorization.

51477264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 51477264 is about 7174.7657801492. The cubic root of 51477264 is about 371.9961844909.

The spelling of 51477264 in words is "fifty-one million, four hundred seventy-seven thousand, two hundred sixty-four".