58053456 has 80 divisors (see below), whose sum is σ = 169443520. Its totient is φ = 19025280.

The previous prime is 58053451. The next prime is 58053461. The reversal of 58053456 is 65435085.

It is an interprime number because it is at equal distance from previous prime (58053451) and next prime (58053461).

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

It is a self number, because there is not a number n which added to its sum of digits gives 58053456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58053451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25251 + ... + 27453.

It is an arithmetic number, because the mean of its divisors is an integer number (2118044).

Almost surely, 2^58053456 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 58053456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84721760).

58053456 is an abundant number, since it is smaller than the sum of its proper divisors (111390064).

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

58053456 is a wasteful number, since it uses less digits than its factorization.

58053456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 58053456 is about 7619.2818559232. The cubic root of 58053456 is about 387.2065479962.

It can be divided in two parts, 5805 and 3456, that added together give a cube (9261 = 21³).

The spelling of 58053456 in words is "fifty-eight million, fifty-three thousand, four hundred fifty-six".