58402080 has 192 divisors, whose sum is σ = 223171200. Its totient is φ = 14146560.

The previous prime is 58402079. The next prime is 58402087. The reversal of 58402080 is 8020485.

58402080 is a `hidden beast` number, since 584 + 0 + 2 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (58402087) 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, 46906 + ... + 48134.

It is an arithmetic number, because the mean of its divisors is an integer number (1162350).

Almost surely, 2^58402080 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 58402080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111585600).

58402080 is an abundant number, since it is smaller than the sum of its proper divisors (164769120).

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

58402080 is a wasteful number, since it uses less digits than its factorization.

58402080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 58402080 is about 7642.1253588253. The cubic root of 58402080 is about 387.9800889630.

The spelling of 58402080 in words is "fifty-eight million, four hundred two thousand, eighty".