537477120 has 270 divisors, whose sum is σ = 1934760282. Its totient is φ = 143327232.

The previous prime is 537477119. The next prime is 537477137. The reversal of 537477120 is 21774735.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)² ⋅ (3!)⁴.

It can be written as a sum of positive squares in only one way, i.e., 429981696 + 107495424 = 20736^2 + 10368^2 .

It is a tau number, because it is divible by the number of its divisors (270).

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 17 ways as a sum of consecutive naturals, for example, 107495422 + ... + 107495426.

Almost surely, 2^537477120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967380141).

537477120 is an abundant number, since it is smaller than the sum of its proper divisors (1397283162).

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

537477120 is an frugal number, since it uses more digits than its factorization.

537477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 537477120 is about 23183.5527907178. The cubic root of 537477120 is about 813.0551289532.

The spelling of 537477120 in words is "five hundred thirty-seven million, four hundred seventy-seven thousand, one hundred twenty".