51455040 has 448 divisors, whose sum is σ = 218480640. Its totient is φ = 9953280.

The previous prime is 51455029. The next prime is 51455069. The reversal of 51455040 is 4055415.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×51455040² = 5295242282803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 51455040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1659825 + ... + 1659855.

It is an arithmetic number, because the mean of its divisors is an integer number (487680).

Almost surely, 2^51455040 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 51455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109240320).

51455040 is an abundant number, since it is smaller than the sum of its proper divisors (167025600).

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

51455040 is a wasteful number, since it uses less digits than its factorization.

51455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 51455040 is about 7173.2168515945. The cubic root of 51455040 is about 371.9426434867.

The spelling of 51455040 in words is "fifty-one million, four hundred fifty-five thousand, forty".