1958046480 has 320 divisors, whose sum is σ = 7344529920. Its totient is φ = 476596224.

The previous prime is 1958046437. The next prime is 1958046523. The reversal of 1958046480 is 846408591.

1958046480 is a `hidden beast` number, since 1 + 9 + 580 + 4 + 64 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1958046437) and next prime (1958046523).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2891902 + ... + 2892578.

It is an arithmetic number, because the mean of its divisors is an integer number (22951656).

Almost surely, 2^1958046480 is an apocalyptic number.

1958046480 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 1958046480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672264960).

1958046480 is an abundant number, since it is smaller than the sum of its proper divisors (5386483440).

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

1958046480 is a wasteful number, since it uses less digits than its factorization.

1958046480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1958046480 is about 44249.8189826806. The cubic root of 1958046480 is about 1251.0490351073.

The spelling of 1958046480 in words is "one billion, nine hundred fifty-eight million, forty-six thousand, four hundred eighty".