9053645400 has 288 divisors, whose sum is σ = 31685472000. Its totient is φ = 2402524800.

The previous prime is 9053645383. The next prime is 9053645413. The reversal of 9053645400 is 45463509.

It is a happy number.

9053645400 is a `hidden beast` number, since 9 + 0 + 5 + 3 + 645 + 4 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 15114301 + ... + 15114899.

It is an arithmetic number, because the mean of its divisors is an integer number (110019000).

Almost surely, 2^9053645400 is an apocalyptic number.

9053645400 is a gapful number since it is divisible by the number (90) 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 9053645400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15842736000).

9053645400 is an abundant number, since it is smaller than the sum of its proper divisors (22631826600).

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

9053645400 is a wasteful number, since it uses less digits than its factorization.

9053645400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 9053645400 is about 95150.6458201940. The cubic root of 9053645400 is about 2084.2084879275.

The spelling of 9053645400 in words is "nine billion, fifty-three million, six hundred forty-five thousand, four hundred".