51349440 has 112 divisors (see below), whose sum is σ = 165140640. Its totient is φ = 13516800.

The previous prime is 51349433. The next prime is 51349453. The reversal of 51349440 is 4494315.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 51349398 and 51349407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85140 + ... + 85740.

It is an arithmetic number, because the mean of its divisors is an integer number (1474470).

Almost surely, 2^51349440 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 51349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82570320).

51349440 is an abundant number, since it is smaller than the sum of its proper divisors (113791200).

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

51349440 is a wasteful number, since it uses less digits than its factorization.

51349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 51349440 is about 7165.8523568379. The cubic root of 51349440 is about 371.6880261028.

The spelling of 51349440 in words is "fifty-one million, three hundred forty-nine thousand, four hundred forty".