56958384 has 120 divisors (see below), whose sum is σ = 174409968. Its totient is φ = 15966720.

The previous prime is 56958383. The next prime is 56958403. The reversal of 56958384 is 48385965.

It is a happy number.

56958384 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56958383) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 143274 + ... + 143670.

Almost surely, 2^56958384 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 56958384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87204984).

56958384 is an abundant number, since it is smaller than the sum of its proper divisors (117451584).

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

56958384 is a wasteful number, since it uses less digits than its factorization.

56958384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 470 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 56958384 is about 7547.0778451000. The cubic root of 56958384 is about 384.7564299601.

The spelling of 56958384 in words is "fifty-six million, nine hundred fifty-eight thousand, three hundred eighty-four".