537468100 has 72 divisors (see below), whose sum is σ = 1267878920. Its totient is φ = 196577280.

The previous prime is 537468091. The next prime is 537468101. The reversal of 537468100 is 1864735.

It can be written as a sum of positive squares in 12 ways, for example, as 277355716 + 260112384 = 16654^2 + 16128^2 .

It is a super-2 number, since 2×537468100² = 577743917035220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (537468101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139804 + ... + 143596.

Almost surely, 2^537468100 is an apocalyptic number.

537468100 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 537468100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633939460).

537468100 is an abundant number, since it is smaller than the sum of its proper divisors (730410820).

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

537468100 is a wasteful number, since it uses less digits than its factorization.

537468100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 537468100 is about 23183.3582554383. The cubic root of 537468100 is about 813.0505806676.

The spelling of 537468100 in words is "five hundred thirty-seven million, four hundred sixty-eight thousand, one hundred".