1955832480 has 240 divisors, whose sum is σ = 7888890240. Its totient is φ = 447026688.

The previous prime is 1955832457. The next prime is 1955832491. The reversal of 1955832480 is 842385591.

1955832480 is a `hidden beast` number, since 1 + 95 + 5 + 83 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79941 + ... + 101499.

It is an arithmetic number, because the mean of its divisors is an integer number (32870376).

Almost surely, 2^1955832480 is an apocalyptic number.

1955832480 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 1955832480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944445120).

1955832480 is an abundant number, since it is smaller than the sum of its proper divisors (5933057760).

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

1955832480 is a wasteful number, since it uses less digits than its factorization.

1955832480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21593 (or 21576 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 1955832480 is about 44224.7948553750. The cubic root of 1955832480 is about 1250.5773290452.

The spelling of 1955832480 in words is "one billion, nine hundred fifty-five million, eight hundred thirty-two thousand, four hundred eighty".