1958406912 has 648 divisors, whose sum is σ = 7633604160. Its totient is φ = 476098560.

The previous prime is 1958406907. The next prime is 1958406913. The reversal of 1958406912 is 2196048591.

1958406912 is a `hidden beast` number, since 1 + 9 + 584 + 0 + 69 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1958406913) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23595223 + ... + 23595305.

Almost surely, 2^1958406912 is an apocalyptic number.

1958406912 is a gapful number since it is divisible by the number (12) 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 1958406912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816802080).

1958406912 is an abundant number, since it is smaller than the sum of its proper divisors (5675197248).

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

1958406912 is a wasteful number, since it uses less digits than its factorization.

1958406912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1958406912 is about 44253.8914899018. The cubic root of 1958406912 is about 1251.1257936598.

The spelling of 1958406912 in words is "one billion, nine hundred fifty-eight million, four hundred six thousand, nine hundred twelve".