537729840 has 240 divisors, whose sum is σ = 1895712000. Its totient is φ = 141647616.

The previous prime is 537729827. The next prime is 537729847. The reversal of 537729840 is 48927735.

537729840 is a `hidden beast` number, since 537 + 72 + 9 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537729847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2702061 + ... + 2702259.

It is an arithmetic number, because the mean of its divisors is an integer number (7898800).

Almost surely, 2^537729840 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 537729840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947856000).

537729840 is an abundant number, since it is smaller than the sum of its proper divisors (1357982160).

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

537729840 is a wasteful number, since it uses less digits than its factorization.

537729840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 537729840 is about 23189.0025658716. The cubic root of 537729840 is about 813.1825409480.

The spelling of 537729840 in words is "five hundred thirty-seven million, seven hundred twenty-nine thousand, eight hundred forty".