264496416 has 48 divisors (see below), whose sum is σ = 730850400. Its totient is φ = 83524608.

The previous prime is 264496411. The next prime is 264496417. The reversal of 264496416 is 614694462.

264496416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (264496411) 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, 70681 + ... + 74328.

It is an arithmetic number, because the mean of its divisors is an integer number (15226050).

Almost surely, 2^264496416 is an apocalyptic number.

It is an amenable number.

264496416 is an abundant number, since it is smaller than the sum of its proper divisors (466353984).

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

264496416 is a wasteful number, since it uses less digits than its factorization.

264496416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145041 (or 145033 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 264496416 is about 16263.3457812346. The cubic root of 264496416 is about 641.9087029655.

The spelling of 264496416 in words is "two hundred sixty-four million, four hundred ninety-six thousand, four hundred sixteen".