1958559480 has 256 divisors, whose sum is σ = 6999782400. Its totient is φ = 485844480.

The previous prime is 1958559479. The next prime is 1958559481. The reversal of 1958559480 is 849558591.

1958559480 is a `hidden beast` number, since 1 + 9 + 5 + 8 + 559 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1958559479) and next prime (1958559481).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1958559481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 918015 + ... + 920145.

It is an arithmetic number, because the mean of its divisors is an integer number (27342900).

Almost surely, 2^1958559480 is an apocalyptic number.

1958559480 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 1958559480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499891200).

1958559480 is an abundant number, since it is smaller than the sum of its proper divisors (5041222920).

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

1958559480 is a wasteful number, since it uses less digits than its factorization.

1958559480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The square root of 1958559480 is about 44255.6152369391. The cubic root of 1958559480 is about 1251.1582821079.

The spelling of 1958559480 in words is "one billion, nine hundred fifty-eight million, five hundred fifty-nine thousand, four hundred eighty".