51849360 has 240 divisors, whose sum is σ = 189416448. Its totient is φ = 12672000.

The previous prime is 51849349. The next prime is 51849373. The reversal of 51849360 is 6394815.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×51849360² = 5376712264819200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513310 + ... + 513410.

Almost surely, 2^51849360 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 51849360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94708224).

51849360 is an abundant number, since it is smaller than the sum of its proper divisors (137567088).

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

51849360 is a wasteful number, since it uses less digits than its factorization.

51849360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 51849360 is about 7200.6499706624. The cubic root of 51849360 is about 372.8903404876.

The spelling of 51849360 in words is "fifty-one million, eight hundred forty-nine thousand, three hundred sixty".