455269248 has 448 divisors, whose sum is σ = 1685668320. Its totient is φ = 119439360.

The previous prime is 455269247. The next prime is 455269249. The reversal of 455269248 is 842962554.

455269248 is a `hidden beast` number, since 4 + 552 + 6 + 92 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (455269247) and next prime (455269249).

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455269247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11104108 + ... + 11104148.

Almost surely, 2^455269248 is an apocalyptic number.

455269248 is a gapful number since it is divisible by the number (48) 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 455269248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842834160).

455269248 is an abundant number, since it is smaller than the sum of its proper divisors (1230399072).

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

455269248 is an equidigital number, since it uses as much as digits as its factorization.

455269248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 455269248 is about 21337.0393447638. The cubic root of 455269248 is about 769.2888514748.

The spelling of 455269248 in words is "four hundred fifty-five million, two hundred sixty-nine thousand, two hundred forty-eight".