52461920 has 96 divisors (see below), whose sum is σ = 146313216. Its totient is φ = 17395200.

The previous prime is 52461911. The next prime is 52461923. The reversal of 52461920 is 2916425.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52461923) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33965 + ... + 35475.

It is an arithmetic number, because the mean of its divisors is an integer number (1524096).

Almost surely, 2^52461920 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 52461920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73156608).

52461920 is an abundant number, since it is smaller than the sum of its proper divisors (93851296).

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

52461920 is a wasteful number, since it uses less digits than its factorization.

52461920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 52461920 is about 7243.0601267696. The cubic root of 52461920 is about 374.3530653172.

The spelling of 52461920 in words is "fifty-two million, four hundred sixty-one thousand, nine hundred twenty".