1958400000 has 468 divisors, whose sum is σ = 7486606764. Its totient is φ = 491520000.

The previous prime is 1958399953. The next prime is 1958400001. The reversal of 1958400000 is 48591.

It can be written as a sum of positive squares in 6 ways, for example, as 1373147136 + 585252864 = 37056^2 + 24192^2 .

It is a super-3 number, since 3×1958400000³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1958400001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115199992 + ... + 115200008.

It is an arithmetic number, because the mean of its divisors is an integer number (15997023).

Almost surely, 2^1958400000 is an apocalyptic number.

1958400000 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 1958400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3743303382).

1958400000 is an abundant number, since it is smaller than the sum of its proper divisors (5528206764).

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

1958400000 is an frugal number, since it uses more digits than its factorization.

1958400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1958400000 is about 44253.8133950059. The cubic root of 1958400000 is about 1251.1243217506.

Adding to 1958400000 its reverse (48591), we get a palindrome (1958448591).

The spelling of 1958400000 in words is "one billion, nine hundred fifty-eight million, four hundred thousand".