1958398080 has 128 divisors (see below), whose sum is σ = 6304824000. Its totient is φ = 517017600.

The previous prime is 1958398067. The next prime is 1958398093. The reversal of 1958398080 is 808938591.

It is an interprime number because it is at equal distance from previous prime (1958398067) and next prime (1958398093).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188871 + ... + 198969.

Almost surely, 2^1958398080 is an apocalyptic number.

1958398080 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 1958398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152412000).

1958398080 is an abundant number, since it is smaller than the sum of its proper divisors (4346425920).

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

1958398080 is a wasteful number, since it uses less digits than its factorization.

1958398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10222 (or 10210 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The square root of 1958398080 is about 44253.7917019548. The cubic root of 1958398080 is about 1251.1239128863.

The spelling of 1958398080 in words is "one billion, nine hundred fifty-eight million, three hundred ninety-eight thousand, eighty".