1408961020 has 48 divisors (see below), whose sum is σ = 3162227040. Its totient is φ = 525461504.

The previous prime is 1408960967. The next prime is 1408961033. The reversal of 1408961020 is 201698041.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17016 + ... + 55744.

It is an arithmetic number, because the mean of its divisors is an integer number (65879730).

Almost surely, 2^1408961020 is an apocalyptic number.

1408961020 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 1408961020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581113520).

1408961020 is an abundant number, since it is smaller than the sum of its proper divisors (1753266020).

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

1408961020 is a wasteful number, since it uses less digits than its factorization.

1408961020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38862 (or 38860 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 1408961020 is about 37536.1295287620. The cubic root of 1408961020 is about 1121.0706757674.

The spelling of 1408961020 in words is "one billion, four hundred eight million, nine hundred sixty-one thousand, twenty".