1035409408 has 192 divisors, whose sum is σ = 2476656000. Its totient is φ = 427622400.

The previous prime is 1035409399. The next prime is 1035409409. The reversal of 1035409408 is 8049045301.

It is a super-3 number, since 3×1035409408³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035409409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17549283 + ... + 17549341.

It is an arithmetic number, because the mean of its divisors is an integer number (12899250).

Almost surely, 2^1035409408 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 1035409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238328000).

1035409408 is an abundant number, since it is smaller than the sum of its proper divisors (1441246592).

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

1035409408 is a wasteful number, since it uses less digits than its factorization.

1035409408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 1035409408 is about 32177.7781706568. The cubic root of 1035409408 is about 1011.6664994914. Note that the first 3 decimals are identical.

The spelling of 1035409408 in words is "one billion, thirty-five million, four hundred nine thousand, four hundred eight".