53458944 has 192 divisors, whose sum is σ = 179262720. Its totient is φ = 13762560.

The previous prime is 53458939. The next prime is 53458963. The reversal of 53458944 is 44985435.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 53458896 and 53458905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473032 + ... + 473144.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 2^53458944 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 53458944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

53458944 is an abundant number, since it is smaller than the sum of its proper divisors (125803776).

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

53458944 is a wasteful number, since it uses less digits than its factorization.

53458944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 53458944 is about 7311.5623501410. The cubic root of 53458944 is about 376.7096902675.

The spelling of 53458944 in words is "fifty-three million, four hundred fifty-eight thousand, nine hundred forty-four".