58461480 has 512 divisors, whose sum is σ = 262656000. Its totient is φ = 11197440.

The previous prime is 58461479. The next prime is 58461493. The reversal of 58461480 is 8416485.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1580022 + ... + 1580058.

It is an arithmetic number, because the mean of its divisors is an integer number (513000).

Almost surely, 2^58461480 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 58461480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131328000).

58461480 is an abundant number, since it is smaller than the sum of its proper divisors (204194520).

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

58461480 is a wasteful number, since it uses less digits than its factorization.

58461480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 58461480 is about 7646.0107245543. The cubic root of 58461480 is about 388.1115809032. Note that the first 3 decimals are identical.

The spelling of 58461480 in words is "fifty-eight million, four hundred sixty-one thousand, four hundred eighty".