264427520 has 288 divisors, whose sum is σ = 806682240. Its totient is φ = 82575360.

The previous prime is 264427517. The next prime is 264427523. The reversal of 264427520 is 25724462.

It is an interprime number because it is at equal distance from previous prime (264427517) and next prime (264427523).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264427523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8529905 + ... + 8529935.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2^264427520 is an apocalyptic number.

264427520 is a gapful number since it is divisible by the number (20) 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 264427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403341120).

264427520 is an abundant number, since it is smaller than the sum of its proper divisors (542254720).

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

264427520 is a wasteful number, since it uses less digits than its factorization.

264427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 264427520 is about 16261.2275059419. The cubic root of 264427520 is about 641.8529633540.

The spelling of 264427520 in words is "two hundred sixty-four million, four hundred twenty-seven thousand, five hundred twenty".