1958748480 has 280 divisors, whose sum is σ = 7504873992. Its totient is φ = 482070528.

The previous prime is 1958748461. The next prime is 1958748481. The reversal of 1958748480 is 848478591.

1958748480 is a `hidden beast` number, since 1 + 9 + 5 + 87 + 484 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 98724096 + 1860024384 = 9936^2 + 43128^2 .

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 (1958748481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 334054 + ... + 339866.

Almost surely, 2^1958748480 is an apocalyptic number.

1958748480 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 1958748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752436996).

1958748480 is an abundant number, since it is smaller than the sum of its proper divisors (5546125512).

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

1958748480 is a wasteful number, since it uses less digits than its factorization.

1958748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5855 (or 5836 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The square root of 1958748480 is about 44257.7505076794. The cubic root of 1958748480 is about 1251.1985261940.

The spelling of 1958748480 in words is "one billion, nine hundred fifty-eight million, seven hundred forty-eight thousand, four hundred eighty".