538790400 has 240 divisors, whose sum is σ = 1978891200. Its totient is φ = 143585280.

The previous prime is 538790393. The next prime is 538790489. The reversal of 538790400 is 4097835.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 344821 + ... + 346379.

It is an arithmetic number, because the mean of its divisors is an integer number (8245380).

Almost surely, 2^538790400 is an apocalyptic number.

538790400 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 538790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989445600).

538790400 is an abundant number, since it is smaller than the sum of its proper divisors (1440100800).

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

538790400 is a wasteful number, since it uses less digits than its factorization.

538790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 538790400 is about 23211.8590380004. The cubic root of 538790400 is about 813.7168008711.

The spelling of 538790400 in words is "five hundred thirty-eight million, seven hundred ninety thousand, four hundred".