264416033 has 8 divisors (see below), whose sum is σ = 304497600. Its totient is φ = 224911440.

The previous prime is 264416021. The next prime is 264416039. The reversal of 264416033 is 330614462.

264416033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 264416033 - 2¹⁶ = 264350497 is a prime.

It is a super-3 number, since 3×264416033³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 264415987 and 264416005.

It is not an unprimeable number, because it can be changed into a prime (264416039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143258 + ... + 145091.

It is an arithmetic number, because the mean of its divisors is an integer number (38062200).

Almost surely, 2^264416033 is an apocalyptic number.

It is an amenable number.

264416033 is a deficient number, since it is larger than the sum of its proper divisors (40081567).

264416033 is a wasteful number, since it uses less digits than its factorization.

264416033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288487.

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 264416033 is about 16260.8742999877. The cubic root of 264416033 is about 641.8436689712.

The spelling of 264416033 in words is "two hundred sixty-four million, four hundred sixteen thousand, thirty-three".