1001922480 has 320 divisors, whose sum is σ = 3839754240. Its totient is φ = 238464000.

The previous prime is 1001922469. The next prime is 1001922487. The reversal of 1001922480 is 842291001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1001922487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 869905 + ... + 871055.

It is an arithmetic number, because the mean of its divisors is an integer number (11999232).

Almost surely, 2^1001922480 is an apocalyptic number.

1001922480 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 1001922480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919877120).

1001922480 is an abundant number, since it is smaller than the sum of its proper divisors (2837831760).

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

1001922480 is a wasteful number, since it uses less digits than its factorization.

1001922480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1001922480 is about 31653.1590840472. The cubic root of 1001922480 is about 1000.6404164459.

The spelling of 1001922480 in words is "one billion, one million, nine hundred twenty-two thousand, four hundred eighty".