1958230440 has 192 divisors, whose sum is σ = 6800788800. Its totient is φ = 487213056.

The previous prime is 1958230387. The next prime is 1958230447. The reversal of 1958230440 is 440328591.

1958230440 is a `hidden beast` number, since 1 + 9 + 582 + 30 + 4 + 40 = 666.

It is a super-2 number, since 2×1958230440² = 7669332912285187200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1958230395 and 1958230404.

It is not an unprimeable number, because it can be changed into a prime (1958230447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456144 + ... + 460416.

It is an arithmetic number, because the mean of its divisors is an integer number (35420775).

Almost surely, 2^1958230440 is an apocalyptic number.

1958230440 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 1958230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400394400).

1958230440 is an abundant number, since it is smaller than the sum of its proper divisors (4842558360).

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

1958230440 is a wasteful number, since it uses less digits than its factorization.

1958230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4376 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1958230440 is about 44251.8975864313. The cubic root of 1958230440 is about 1251.0882128926.

The spelling of 1958230440 in words is "one billion, nine hundred fifty-eight million, two hundred thirty thousand, four hundred forty".