1035609408 has 224 divisors, whose sum is σ = 3230392320. Its totient is φ = 324656640.

The previous prime is 1035609397. The next prime is 1035609413. The reversal of 1035609408 is 8049065301.

1035609408 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 609 + 40 + 8 = 666.

It is a super-3 number, since 3×1035609408³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2821641 + ... + 2822007.

Almost surely, 2^1035609408 is an apocalyptic number.

1035609408 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 1035609408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615196160).

1035609408 is an abundant number, since it is smaller than the sum of its proper divisors (2194782912).

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

1035609408 is a wasteful number, since it uses less digits than its factorization.

1035609408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1035609408 is about 32180.8857553673. The cubic root of 1035609408 is about 1011.7316332353.

The spelling of 1035609408 in words is "one billion, thirty-five million, six hundred nine thousand, four hundred eight".