537379200 has 288 divisors, whose sum is σ = 1963222560. Its totient is φ = 139898880.

The previous prime is 537379151. The next prime is 537379211. The reversal of 537379200 is 2973735.

It is a happy number.

537379200 is a `hidden beast` number, since 537 + 37 + 92 + 0 + 0 = 666.

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

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 35 ways as a sum of consecutive naturals, for example, 1353402 + ... + 1353798.

It is an arithmetic number, because the mean of its divisors is an integer number (6816745).

Almost surely, 2^537379200 is an apocalyptic number.

537379200 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 537379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981611280).

537379200 is an abundant number, since it is smaller than the sum of its proper divisors (1425843360).

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

537379200 is a wasteful number, since it uses less digits than its factorization.

537379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 537379200 is about 23181.4408525441. The cubic root of 537379200 is about 813.0057506072.

The spelling of 537379200 in words is "five hundred thirty-seven million, three hundred seventy-nine thousand, two hundred".