51437880 has 192 divisors, whose sum is σ = 186732000. Its totient is φ = 12192768.

The previous prime is 51437873. The next prime is 51437887. The reversal of 51437880 is 8873415.

It is an interprime number because it is at equal distance from previous prime (51437873) and next prime (51437887).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51437887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135531 + ... + 135909.

Almost surely, 2^51437880 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 51437880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93366000).

51437880 is an abundant number, since it is smaller than the sum of its proper divisors (135294120).

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

51437880 is a wasteful number, since it uses less digits than its factorization.

51437880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 431 counting only the distinct ones).

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

The square root of 51437880 is about 7172.0206357762. The cubic root of 51437880 is about 371.9012918821.

The spelling of 51437880 in words is "fifty-one million, four hundred thirty-seven thousand, eight hundred eighty".