455441952 has 192 divisors, whose sum is σ = 1447649280. Its totient is φ = 122563584.

The previous prime is 455441941. The next prime is 455441971. The reversal of 455441952 is 259144554.

It is a self number, because there is not a number n which added to its sum of digits gives 455441952.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1220838 + ... + 1221210.

It is an arithmetic number, because the mean of its divisors is an integer number (7539840).

Almost surely, 2^455441952 is an apocalyptic number.

455441952 is a gapful number since it is divisible by the number (42) 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 455441952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723824640).

455441952 is an abundant number, since it is smaller than the sum of its proper divisors (992207328).

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

455441952 is a wasteful number, since it uses less digits than its factorization.

455441952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 487 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

The square root of 455441952 is about 21341.0860079800. The cubic root of 455441952 is about 769.3861144066.

The spelling of 455441952 in words is "four hundred fifty-five million, four hundred forty-one thousand, nine hundred fifty-two".