537368400 has 90 divisors (see below), whose sum is σ = 1864830110. Its totient is φ = 143297280.

The previous prime is 537368357. The next prime is 537368411. The reversal of 537368400 is 4863735.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 42928704 + 494439696 = 6552^2 + 22236^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 71035 + ... + 78234.

Almost surely, 2^537368400 is an apocalyptic number.

537368400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

537368400 is an abundant number, since it is smaller than the sum of its proper divisors (1327461710).

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

537368400 is a wasteful number, since it uses less digits than its factorization.

537368400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149293 (or 149279 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 537368400 is about 23181.2079064056. The cubic root of 537368400 is about 813.0003040989. Note that the first 3 decimals are identical.

The spelling of 537368400 in words is "five hundred thirty-seven million, three hundred sixty-eight thousand, four hundred".