454221768 has 384 divisors, whose sum is σ = 1615662720. Its totient is φ = 104509440.

The previous prime is 454221767. The next prime is 454221769. The reversal of 454221768 is 867122454.

It is an interprime number because it is at equal distance from previous prime (454221767) and next prime (454221769).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (454221767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6222180 + ... + 6222252.

It is an arithmetic number, because the mean of its divisors is an integer number (4207455).

Almost surely, 2^454221768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454221768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807831360).

454221768 is an abundant number, since it is smaller than the sum of its proper divisors (1161440952).

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

454221768 is a wasteful number, since it uses less digits than its factorization.

454221768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 146 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 454221768 is about 21312.4791612801. The cubic root of 454221768 is about 768.6984071133.

It can be divided in two parts, 454 and 221768, that added together give a palindrome (222222).

The spelling of 454221768 in words is "four hundred fifty-four million, two hundred twenty-one thousand, seven hundred sixty-eight".