1045535400 has 432 divisors, whose sum is σ = 4354140960. Its totient is φ = 220147200.

The previous prime is 1045535389. The next prime is 1045535431. The reversal of 1045535400 is 45355401.

1045535400 is a `hidden beast` number, since 104 + 553 + 5 + 4 + 0 + 0 = 666.

1045535400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2129155 + ... + 2129645.

It is an arithmetic number, because the mean of its divisors is an integer number (10079030).

Almost surely, 2^1045535400 is an apocalyptic number.

1045535400 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 1045535400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177070480).

1045535400 is an abundant number, since it is smaller than the sum of its proper divisors (3308605560).

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

1045535400 is a wasteful number, since it uses less digits than its factorization.

1045535400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1045535400 is about 32334.7398319516. The cubic root of 1045535400 is about 1014.9537377703.

The spelling of 1045535400 in words is "one billion, forty-five million, five hundred thirty-five thousand, four hundred".