1950724480 has 64 divisors (see below), whose sum is σ = 4680478080. Its totient is φ = 777441280.

The previous prime is 1950724463. The next prime is 1950724481. The reversal of 1950724480 is 844270591.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1950724481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174417 + ... + 185263.

It is an arithmetic number, because the mean of its divisors is an integer number (73132470).

Almost surely, 2^1950724480 is an apocalyptic number.

1950724480 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 1950724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340239040).

1950724480 is an abundant number, since it is smaller than the sum of its proper divisors (2729753600).

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

1950724480 is a wasteful number, since it uses less digits than its factorization.

1950724480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11147 (or 11135 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 1950724480 is about 44167.0066905150. The cubic root of 1950724480 is about 1249.4876791172.

The spelling of 1950724480 in words is "one billion, nine hundred fifty million, seven hundred twenty-four thousand, four hundred eighty".