51790464 has 192 divisors, whose sum is σ = 167712480. Its totient is φ = 15206400.

The previous prime is 51790451. The next prime is 51790469. The reversal of 51790464 is 46409715.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×51790464² = 5364504322670592, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (51790469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 772959 + ... + 773025.

Almost surely, 2^51790464 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 51790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83856240).

51790464 is an abundant number, since it is smaller than the sum of its proper divisors (115922016).

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

51790464 is a wasteful number, since it uses less digits than its factorization.

51790464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 51790464 is about 7196.5591778294. The cubic root of 51790464 is about 372.7490975341.

The spelling of 51790464 in words is "fifty-one million, seven hundred ninety thousand, four hundred sixty-four".