264453552 has 320 divisors, whose sum is σ = 910656000. Its totient is φ = 72576000.

The previous prime is 264453493. The next prime is 264453557. The reversal of 264453552 is 255354462.

264453552 is a `hidden beast` number, since 2 + 64 + 45 + 3 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (264453557) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2618302 + ... + 2618402.

It is an arithmetic number, because the mean of its divisors is an integer number (2845800).

Almost surely, 2^264453552 is an apocalyptic number.

264453552 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 264453552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455328000).

264453552 is an abundant number, since it is smaller than the sum of its proper divisors (646202448).

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

264453552 is a wasteful number, since it uses less digits than its factorization.

264453552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 264453552 is about 16262.0279178213. The cubic root of 264453552 is about 641.8740254180.

The spelling of 264453552 in words is "two hundred sixty-four million, four hundred fifty-three thousand, five hundred fifty-two".