533723904 has 180 divisors, whose sum is σ = 1819315344. Its totient is φ = 152451072.

The previous prime is 533723903. The next prime is 533723933. The reversal of 533723904 is 409327335.

It is a super-2 number, since 2×533723904² = 569722411402002432, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533723903) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 143314 + ... + 146990.

Almost surely, 2^533723904 is an apocalyptic number.

533723904 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 533723904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909657672).

533723904 is an abundant number, since it is smaller than the sum of its proper divisors (1285591440).

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

533723904 is an equidigital number, since it uses as much as digits as its factorization.

533723904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 533723904 is about 23102.4653229910. The cubic root of 533723904 is about 811.1581785799.

It can be divided in two parts, 5337 and 23904, that added together give a square (29241 = 171²).

The spelling of 533723904 in words is "five hundred thirty-three million, seven hundred twenty-three thousand, nine hundred four".