264894021 has 48 divisors (see below), whose sum is σ = 450537984. Its totient is φ = 146840832.

The previous prime is 264894001. The next prime is 264894023. The reversal of 264894021 is 120498462.

264894021 is a `hidden beast` number, since 2 + 648 + 9 + 4 + 0 + 2 + 1 = 666.

It is not a de Polignac number, because 264894021 - 2⁹ = 264893509 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264894023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405331 + ... + 405983.

It is an arithmetic number, because the mean of its divisors is an integer number (9386208).

Almost surely, 2^264894021 is an apocalyptic number.

264894021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

264894021 is a deficient number, since it is larger than the sum of its proper divisors (185643963).

264894021 is a wasteful number, since it uses less digits than its factorization.

264894021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 264894021 is about 16275.5651514778. The cubic root of 264894021 is about 642.2301922956.

It can be divided in two parts, 2648 and 94021, that added together give a palindrome (96669).

The spelling of 264894021 in words is "two hundred sixty-four million, eight hundred ninety-four thousand, twenty-one".