538979200 has 96 divisors (see below), whose sum is σ = 1362758760. Its totient is φ = 210524160.

The previous prime is 538979191. The next prime is 538979201. The reversal of 538979200 is 2979835.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538979201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135642 + ... + 139558.

Almost surely, 2^538979200 is an apocalyptic number.

538979200 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 538979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681379380).

538979200 is an abundant number, since it is smaller than the sum of its proper divisors (823779560).

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

538979200 is a wasteful number, since it uses less digits than its factorization.

538979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 538979200 is about 23215.9255684541. The cubic root of 538979200 is about 813.8118358426.

The spelling of 538979200 in words is "five hundred thirty-eight million, nine hundred seventy-nine thousand, two hundred".