453220992 has 384 divisors, whose sum is σ = 1612416000. Its totient is φ = 121927680.

The previous prime is 453220981. The next prime is 453220993. The reversal of 453220992 is 299022354.

It is a tau number, because it is divible by the number of its divisors (384).

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 (453220993) 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 47 ways as a sum of consecutive naturals, for example, 12249198 + ... + 12249234.

It is an arithmetic number, because the mean of its divisors is an integer number (4199000).

Almost surely, 2^453220992 is an apocalyptic number.

453220992 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 453220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806208000).

453220992 is an abundant number, since it is smaller than the sum of its proper divisors (1159195008).

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

453220992 is a wasteful number, since it uses less digits than its factorization.

453220992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 453220992 is about 21288.9875757397. The cubic root of 453220992 is about 768.1334403550.

It can be divided in two parts, 453 and 220992, that added together give a triangular number (221445 = T₆₆₅).

The spelling of 453220992 in words is "four hundred fifty-three million, two hundred twenty thousand, nine hundred ninety-two".