1019049408 has 336 divisors, whose sum is σ = 3370575936. Its totient is φ = 291962880.

The previous prime is 1019049403. The next prime is 1019049419. The reversal of 1019049408 is 8049409101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1019049403) 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 47 ways as a sum of consecutive naturals, for example, 10505616 + ... + 10505712.

It is an arithmetic number, because the mean of its divisors is an integer number (10031476).

Almost surely, 2^1019049408 is an apocalyptic number.

1019049408 is a gapful number since it is divisible by the number (18) 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 1019049408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685287968).

1019049408 is an abundant number, since it is smaller than the sum of its proper divisors (2351526528).

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

1019049408 is a wasteful number, since it uses less digits than its factorization.

1019049408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1019049408 is about 31922.5532813401. The cubic root of 1019049408 is about 1006.3099040350.

The spelling of 1019049408 in words is "one billion, nineteen million, forty-nine thousand, four hundred eight".