53792424 has 192 divisors, whose sum is σ = 178214400. Its totient is φ = 14883264.

The previous prime is 53792411. The next prime is 53792449. The reversal of 53792424 is 42429735.

53792424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 802839 + ... + 802905.

It is an arithmetic number, because the mean of its divisors is an integer number (928200).

Almost surely, 2^53792424 is an apocalyptic number.

53792424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53792424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89107200).

53792424 is an abundant number, since it is smaller than the sum of its proper divisors (124421976).

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

53792424 is a wasteful number, since it uses less digits than its factorization.

53792424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 53792424 is about 7334.3318714113. The cubic root of 53792424 is about 377.4913794210.

The spelling of 53792424 in words is "fifty-three million, seven hundred ninety-two thousand, four hundred twenty-four".