4538948400 has 540 divisors, whose sum is σ = 19021641912. Its totient is φ = 1036385280.

The previous prime is 4538948389. The next prime is 4538948413. The reversal of 4538948400 is 48498354.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4762324 + ... + 4763276.

Almost surely, 2^4538948400 is an apocalyptic number.

4538948400 is a gapful number since it is divisible by the number (40) 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 4538948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9510820956).

4538948400 is an abundant number, since it is smaller than the sum of its proper divisors (14482693512).

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

4538948400 is a wasteful number, since it uses less digits than its factorization.

4538948400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4538948400 is about 67371.7181018860. The cubic root of 4538948400 is about 1655.7130882900.

The spelling of 4538948400 in words is "four billion, five hundred thirty-eight million, nine hundred forty-eight thousand, four hundred".