1058416480 has 192 divisors, whose sum is σ = 2865844800. Its totient is φ = 365854720.

The previous prime is 1058416433. The next prime is 1058416529. The reversal of 1058416480 is 846148501.

1058416480 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1058416480² = 2240490890271180800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4542444 + ... + 4542676.

It is an arithmetic number, because the mean of its divisors is an integer number (14926275).

Almost surely, 2^1058416480 is an apocalyptic number.

1058416480 is a gapful number since it is divisible by the number (10) 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 1058416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432922400).

1058416480 is an abundant number, since it is smaller than the sum of its proper divisors (1807428320).

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

1058416480 is a wasteful number, since it uses less digits than its factorization.

1058416480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 1058416480 is about 32533.3133879720. The cubic root of 1058416480 is about 1019.1048406728.

The spelling of 1058416480 in words is "one billion, fifty-eight million, four hundred sixteen thousand, four hundred eighty".