1955316480 has 432 divisors, whose sum is σ = 7109980416. Its totient is φ = 456867840.

The previous prime is 1955316479. The next prime is 1955316487. The reversal of 1955316480 is 846135591.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1955316487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14926015 + ... + 14926145.

It is an arithmetic number, because the mean of its divisors is an integer number (16458288).

Almost surely, 2^1955316480 is an apocalyptic number.

1955316480 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 1955316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554990208).

1955316480 is an abundant number, since it is smaller than the sum of its proper divisors (5154663936).

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

1955316480 is a wasteful number, since it uses less digits than its factorization.

1955316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 1955316480 is about 44218.9606390743. The cubic root of 1955316480 is about 1250.4673409855.

The spelling of 1955316480 in words is "one billion, nine hundred fifty-five million, three hundred sixteen thousand, four hundred eighty".