58629480 has 288 divisors, whose sum is σ = 225309600. Its totient is φ = 12160512.

The previous prime is 58629469. The next prime is 58629509. The reversal of 58629480 is 8492685.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 993691 + ... + 993749.

It is an arithmetic number, because the mean of its divisors is an integer number (782325).

Almost surely, 2^58629480 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 58629480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112654800).

58629480 is an abundant number, since it is smaller than the sum of its proper divisors (166680120).

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

58629480 is a wasteful number, since it uses less digits than its factorization.

58629480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 58629480 is about 7656.9889643384. The cubic root of 58629480 is about 388.4829957658.

The spelling of 58629480 in words is "fifty-eight million, six hundred twenty-nine thousand, four hundred eighty".