537072480 has 144 divisors (see below), whose sum is σ = 2094621984. Its totient is φ = 122757120.

The previous prime is 537072467. The next prime is 537072493. The reversal of 537072480 is 84270735.

It is an interprime number because it is at equal distance from previous prime (537072467) and next prime (537072493).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 16561 + ... + 36720.

It is an arithmetic number, because the mean of its divisors is an integer number (14545986).

Almost surely, 2^537072480 is an apocalyptic number.

It is an amenable number.

537072480 is an abundant number, since it is smaller than the sum of its proper divisors (1557549504).

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

537072480 is a wasteful number, since it uses less digits than its factorization.

537072480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53309 (or 53298 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 537072480 is about 23174.8242711784. The cubic root of 537072480 is about 812.8510413676.

The spelling of 537072480 in words is "five hundred thirty-seven million, seventy-two thousand, four hundred eighty".