1954480440 has 128 divisors (see below), whose sum is σ = 6437905920. Its totient is φ = 470745600.

The previous prime is 1954480439. The next prime is 1954480447. The reversal of 1954480440 is 440844591.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1954480447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202525 + ... + 211955.

It is an arithmetic number, because the mean of its divisors is an integer number (50296140).

Almost surely, 2^1954480440 is an apocalyptic number.

1954480440 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 1954480440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218952960).

1954480440 is an abundant number, since it is smaller than the sum of its proper divisors (4483425480).

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

1954480440 is a wasteful number, since it uses less digits than its factorization.

1954480440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9613 (or 9609 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 1954480440 is about 44209.5062175546. The cubic root of 1954480440 is about 1250.2890936681.

The spelling of 1954480440 in words is "one billion, nine hundred fifty-four million, four hundred eighty thousand, four hundred forty".