58990464 has 192 divisors, whose sum is σ = 190393200. Its totient is φ = 17971200.

The previous prime is 58990447. The next prime is 58990471. The reversal of 58990464 is 46409985.

It is a happy number.

58990464 is a `hidden beast` number, since 589 + 9 + 0 + 4 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 584014 + ... + 584114.

Almost surely, 2^58990464 is an apocalyptic number.

58990464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95196600).

58990464 is an abundant number, since it is smaller than the sum of its proper divisors (131402736).

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

58990464 is a wasteful number, since it uses less digits than its factorization.

58990464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 58990464 is about 7680.5249820569. The cubic root of 58990464 is about 389.2786666641.

The spelling of 58990464 in words is "fifty-eight million, nine hundred ninety thousand, four hundred sixty-four".