51029440 has 224 divisors, whose sum is σ = 160934400. Its totient is φ = 14929920.

The previous prime is 51029417. The next prime is 51029443. The reversal of 51029440 is 4492015.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51029443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468106 + ... + 468214.

Almost surely, 2^51029440 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 51029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80467200).

51029440 is an abundant number, since it is smaller than the sum of its proper divisors (109904960).

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

51029440 is a wasteful number, since it uses less digits than its factorization.

51029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 51029440 is about 7143.4893434511. The cubic root of 51029440 is about 370.9143201761.

The spelling of 51029440 in words is "fifty-one million, twenty-nine thousand, four hundred forty".