536978304 has 96 divisors (see below), whose sum is σ = 1626604200. Its totient is φ = 169565184.

The previous prime is 536978287. The next prime is 536978327. The reversal of 536978304 is 403879635.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 536978304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9622 + ... + 34154.

Almost surely, 2^536978304 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 536978304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813302100).

536978304 is an abundant number, since it is smaller than the sum of its proper divisors (1089625896).

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

536978304 is a wasteful number, since it uses less digits than its factorization.

536978304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24572 (or 24557 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 536978304 is about 23172.7923220315. The cubic root of 536978304 is about 812.8035272751.

It can be divided in two parts, 53697 and 8304, that added together give a square (62001 = 249²).

The spelling of 536978304 in words is "five hundred thirty-six million, nine hundred seventy-eight thousand, three hundred four".