1020000408 has 128 divisors (see below), whose sum is σ = 3248294400. Its totient is φ = 259835904.

The previous prime is 1020000407. The next prime is 1020000433. The reversal of 1020000408 is 8040000201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020000403) 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 31 ways as a sum of consecutive naturals, for example, 44866 + ... + 63662.

It is an arithmetic number, because the mean of its divisors is an integer number (25377300).

Almost surely, 2^1020000408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020000408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624147200).

1020000408 is an abundant number, since it is smaller than the sum of its proper divisors (2228293992).

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

1020000408 is a wasteful number, since it uses less digits than its factorization.

1020000408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18849 (or 18845 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1020000408 is about 31937.4452328298. The cubic root of 1020000408 is about 1006.6228437765.

Adding to 1020000408 its reverse (8040000201), we get a palindrome (9060000609).

It can be divided in two parts, 1020000 and 408, that multiplied together give a square (416160000 = 20400²).

The spelling of 1020000408 in words is "one billion, twenty million, four hundred eight", and thus it is an aban number.