1958804316 has 384 divisors, whose sum is σ = 6502809600. Its totient is φ = 497352960.

The previous prime is 1958804299. The next prime is 1958804317. The reversal of 1958804316 is 6134088591.

1958804316 is a `hidden beast` number, since 19 + 588 + 0 + 43 + 16 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1958804317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23600011 + ... + 23600093.

It is an arithmetic number, because the mean of its divisors is an integer number (16934400).

Almost surely, 2^1958804316 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 1958804316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251404800).

1958804316 is an abundant number, since it is smaller than the sum of its proper divisors (4544005284).

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

1958804316 is a wasteful number, since it uses less digits than its factorization.

1958804316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1958804316 is about 44258.3813079512. The cubic root of 1958804316 is about 1251.2104149515.

The spelling of 1958804316 in words is "one billion, nine hundred fifty-eight million, eight hundred four thousand, three hundred sixteen".