538714800 has 300 divisors, whose sum is σ = 2083755520. Its totient is φ = 132503040.

The previous prime is 538714789. The next prime is 538714831. The reversal of 538714800 is 8417835.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 420561 + ... + 421839.

Almost surely, 2^538714800 is an apocalyptic number.

538714800 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 538714800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041877760).

538714800 is an abundant number, since it is smaller than the sum of its proper divisors (1545040720).

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

538714800 is a wasteful number, since it uses less digits than its factorization.

538714800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 538714800 is about 23210.2305029485. The cubic root of 538714800 is about 813.6787403887.

The spelling of 538714800 in words is "five hundred thirty-eight million, seven hundred fourteen thousand, eight hundred".