455096928 has 96 divisors (see below), whose sum is σ = 1403523072. Its totient is φ = 127296000.

The previous prime is 455096923. The next prime is 455096933. The reversal of 455096928 is 829690554.

It is an interprime number because it is at equal distance from previous prime (455096923) and next prime (455096933).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×455096928⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455096923) 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 15 ways as a sum of consecutive naturals, for example, 2848 + ... + 30303.

It is an arithmetic number, because the mean of its divisors is an integer number (14620032).

Almost surely, 2^455096928 is an apocalyptic number.

455096928 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 455096928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701761536).

455096928 is an abundant number, since it is smaller than the sum of its proper divisors (948426144).

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

455096928 is a wasteful number, since it uses less digits than its factorization.

455096928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33188 (or 33180 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 455096928 is about 21333.0009140768. Note that the first 3 decimals coincide. The cubic root of 455096928 is about 769.1917802844.

The spelling of 455096928 in words is "four hundred fifty-five million, ninety-six thousand, nine hundred twenty-eight".