1035408000 has 512 divisors, whose sum is σ = 3918170880. Its totient is φ = 239616000.

The previous prime is 1035407999. The next prime is 1035408007. The reversal of 1035408000 is 8045301.

It is a super-3 number, since 3×1035408000³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1035408007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19535974 + ... + 19536026.

Almost surely, 2^1035408000 is an apocalyptic number.

1035408000 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 1035408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959085440).

1035408000 is an abundant number, since it is smaller than the sum of its proper divisors (2882762880).

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

1035408000 is a wasteful number, since it uses less digits than its factorization.

1035408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1035408000 is about 32177.7562921966. The cubic root of 1035408000 is about 1011.6660409201. Note that the first 3 decimals are identical.

The spelling of 1035408000 in words is "one billion, thirty-five million, four hundred eight thousand".