51292440 has 112 divisors (see below), whose sum is σ = 173131200. Its totient is φ = 13670208.

The previous prime is 51292433. The next prime is 51292447. The reversal of 51292440 is 4429215.

It is an interprime number because it is at equal distance from previous prime (51292433) and next prime (51292447).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51292447) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 28281 + ... + 30039.

Almost surely, 2^51292440 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 51292440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86565600).

51292440 is an abundant number, since it is smaller than the sum of its proper divisors (121838760).

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

51292440 is a wasteful number, since it uses less digits than its factorization.

51292440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 51292440 is about 7161.8740564185. The cubic root of 51292440 is about 371.5504454949.

It can be divided in two parts, 5129 and 2440, that added together give a square (7569 = 87²).

The spelling of 51292440 in words is "fifty-one million, two hundred ninety-two thousand, four hundred forty".