455828352 has 256 divisors, whose sum is σ = 1478200320. Its totient is φ = 121651200.

The previous prime is 455828339. The next prime is 455828353. The reversal of 455828352 is 253828554.

It is a happy number.

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 (455828353) 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 31 ways as a sum of consecutive naturals, for example, 4513102 + ... + 4513202.

It is an arithmetic number, because the mean of its divisors is an integer number (5774220).

Almost surely, 2^455828352 is an apocalyptic number.

455828352 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 455828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739100160).

455828352 is an abundant number, since it is smaller than the sum of its proper divisors (1022371968).

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

455828352 is a wasteful number, since it uses less digits than its factorization.

455828352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its digits is 384000, while the sum is 42.

The square root of 455828352 is about 21350.1370487405. The cubic root of 455828352 is about 769.6036370118.

The spelling of 455828352 in words is "four hundred fifty-five million, eight hundred twenty-eight thousand, three hundred fifty-two".