264197472 has 192 divisors, whose sum is σ = 875556864. Its totient is φ = 67760640.

The previous prime is 264197467. The next prime is 264197473. The reversal of 264197472 is 274791462.

It is a super-2 number, since 2×264197472² = 139600608422381568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264197473) 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 31 ways as a sum of consecutive naturals, for example, 761203 + ... + 761549.

It is an arithmetic number, because the mean of its divisors is an integer number (4560192).

Almost surely, 2^264197472 is an apocalyptic number.

264197472 is a gapful number since it is divisible by the number (22) 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 264197472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437778432).

264197472 is an abundant number, since it is smaller than the sum of its proper divisors (611359392).

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

264197472 is a wasteful number, since it uses less digits than its factorization.

264197472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 473 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 264197472 is about 16254.1524540654. The cubic root of 264197472 is about 641.6667751804. Note that the first 3 decimals are identical.

The spelling of 264197472 in words is "two hundred sixty-four million, one hundred ninety-seven thousand, four hundred seventy-two".