1958441472 has 120 divisors (see below), whose sum is σ = 6087165084. Its totient is φ = 602578944.

The previous prime is 1958441447. The next prime is 1958441479. The reversal of 1958441472 is 2741448591.

1958441472 is a `hidden beast` number, since 1 + 95 + 84 + 414 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1485639936 + 472801536 = 38544^2 + 21744^2 .

It is not an unprimeable number, because it can be changed into a prime (1958441479) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43558 + ... + 76250.

Almost surely, 2^1958441472 is an apocalyptic number.

1958441472 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 1958441472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043582542).

1958441472 is an abundant number, since it is smaller than the sum of its proper divisors (4128723612).

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

1958441472 is a wasteful number, since it uses less digits than its factorization.

1958441472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32730 (or 32711 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 1958441472 is about 44254.2819623141. The cubic root of 1958441472 is about 1251.1331531541.

The spelling of 1958441472 in words is "one billion, nine hundred fifty-eight million, four hundred forty-one thousand, four hundred seventy-two".