1958432256 has 360 divisors, whose sum is σ = 6523638264. Its totient is φ = 582266880.

The previous prime is 1958432243. The next prime is 1958432261. The reversal of 1958432256 is 6522348591.

1958432256 is a `hidden beast` number, since 19 + 584 + 3 + 2 + 2 + 56 = 666.

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36951526 + ... + 36951578.

Almost surely, 2^1958432256 is an apocalyptic number.

1958432256 is a gapful number since it is divisible by the number (16) 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 1958432256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261819132).

1958432256 is an abundant number, since it is smaller than the sum of its proper divisors (4565206008).

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

1958432256 is an frugal number, since it uses more digits than its factorization.

1958432256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 69 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 1958432256 is about 44254.1778366744. The cubic root of 1958432256 is about 1251.1311906307.

The spelling of 1958432256 in words is "one billion, nine hundred fifty-eight million, four hundred thirty-two thousand, two hundred fifty-six".