58119480 has 192 divisors, whose sum is σ = 206388000. Its totient is φ = 14128128.

The previous prime is 58119469. The next prime is 58119487. The reversal of 58119480 is 8491185.

58119480 = T₁₁₉ + T₁₂₀ + ... + T₇₀₄.

It is a super-3 number, since 3×58119480³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58119487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198214 + ... + 198506.

Almost surely, 2^58119480 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 58119480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103194000).

58119480 is an abundant number, since it is smaller than the sum of its proper divisors (148268520).

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

58119480 is a wasteful number, since it uses less digits than its factorization.

58119480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 58119480 is about 7623.6133165317. The cubic root of 58119480 is about 387.3532819512.

The spelling of 58119480 in words is "fifty-eight million, one hundred nineteen thousand, four hundred eighty".