1958430240 has 288 divisors, whose sum is σ = 7244218800. Its totient is φ = 478937088.

The previous prime is 1958430211. The next prime is 1958430281. The reversal of 1958430240 is 420348591.

1958430240 is a `hidden beast` number, since 1 + 9 + 584 + 30 + 2 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 320123664 + 1638306576 = 17892^2 + 40476^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 1958430195 and 1958430204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4361536 + ... + 4361984.

Almost surely, 2^1958430240 is an apocalyptic number.

1958430240 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 1958430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622109400).

1958430240 is an abundant number, since it is smaller than the sum of its proper divisors (5285788560).

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

1958430240 is a wasteful number, since it uses less digits than its factorization.

1958430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1958430240 is about 44254.1550591580. The cubic root of 1958430240 is about 1251.1307613279.

The spelling of 1958430240 in words is "one billion, nine hundred fifty-eight million, four hundred thirty thousand, two hundred forty".