9058452480 has 1408 divisors, whose sum is σ = 43012546560. Its totient is φ = 1751777280.

The previous prime is 9058452413. The next prime is 9058452493. The reversal of 9058452480 is 842548509.

9058452480 is a `hidden beast` number, since 90 + 5 + 84 + 5 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×9058452480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 244823022 + ... + 244823058.

Almost surely, 2^9058452480 is an apocalyptic number.

9058452480 is a gapful number since it is divisible by the number (90) 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 9058452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21506273280).

9058452480 is an abundant number, since it is smaller than the sum of its proper divisors (33954094080).

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

9058452480 is a wasteful number, since it uses less digits than its factorization.

9058452480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 9058452480 is about 95175.9028325973. The cubic root of 9058452480 is about 2084.5772964318.

The spelling of 9058452480 in words is "nine billion, fifty-eight million, four hundred fifty-two thousand, four hundred eighty".