537266304 has 128 divisors (see below), whose sum is σ = 1605643200. Its totient is φ = 176836608.

The previous prime is 537266299. The next prime is 537266309. The reversal of 537266304 is 403662735.

It is an interprime number because it is at equal distance from previous prime (537266299) and next prime (537266309).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (537266309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285912 + ... + 287784.

Almost surely, 2^537266304 is an apocalyptic number.

537266304 is a gapful number since it is divisible by the number (54) 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 537266304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802821600).

537266304 is an abundant number, since it is smaller than the sum of its proper divisors (1068376896).

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

537266304 is a wasteful number, since it uses less digits than its factorization.

537266304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 537266304 is about 23179.0056732380. The cubic root of 537266304 is about 812.9488128337.

The spelling of 537266304 in words is "five hundred thirty-seven million, two hundred sixty-six thousand, three hundred four".