538214400 has 288 divisors, whose sum is σ = 1954384770. Its totient is φ = 141557760.

The previous prime is 538214371. The next prime is 538214429. The reversal of 538214400 is 4412835.

It is an interprime number because it is at equal distance from previous prime (538214371) and next prime (538214429).

It can be written as a sum of positive squares in 3 ways, for example, as 414203904 + 124010496 = 20352^2 + 11136^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7372764 + ... + 7372836.

Almost surely, 2^538214400 is an apocalyptic number.

538214400 is a gapful number since it is divisible by the number (50) 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 538214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977192385).

538214400 is an abundant number, since it is smaller than the sum of its proper divisors (1416170370).

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

538214400 is an equidigital number, since it uses as much as digits as its factorization.

538214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 538214400 is about 23199.4482693016. The cubic root of 538214400 is about 813.4267264131.

The spelling of 538214400 in words is "five hundred thirty-eight million, two hundred fourteen thousand, four hundred".