1959822480 has 480 divisors, whose sum is σ = 7903494144. Its totient is φ = 392832000.

The previous prime is 1959822467. The next prime is 1959822503. The reversal of 1959822480 is 842289591.

It is a super-2 number, since 2×1959822480² = 7681808306226700800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6301525 + ... + 6301835.

Almost surely, 2^1959822480 is an apocalyptic number.

1959822480 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 1959822480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951747072).

1959822480 is an abundant number, since it is smaller than the sum of its proper divisors (5943671664).

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

1959822480 is a wasteful number, since it uses less digits than its factorization.

1959822480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 1959822480 is about 44269.8823129224. The cubic root of 1959822480 is about 1251.4271656717.

The spelling of 1959822480 in words is "one billion, nine hundred fifty-nine million, eight hundred twenty-two thousand, four hundred eighty".