58406424 has 128 divisors (see below), whose sum is σ = 163995840. Its totient is φ = 17252352.

The previous prime is 58406333. The next prime is 58406429. The reversal of 58406424 is 42460485.

It is a super-2 number, since 2×58406424² = 6822620728935552, which contains 22 as substring.

58406424 is a modest number, since divided by 6424 gives 5840 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58406429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 800052 + ... + 800124.

Almost surely, 2^58406424 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 58406424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81997920).

58406424 is an abundant number, since it is smaller than the sum of its proper divisors (105589416).

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

58406424 is a wasteful number, since it uses less digits than its factorization.

58406424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 58406424 is about 7642.4095676691. The cubic root of 58406424 is about 387.9897081622.

It can be divided in two parts, 584064 and 24, that multiplied together give a square (14017536 = 3744²).

The spelling of 58406424 in words is "fifty-eight million, four hundred six thousand, four hundred twenty-four".