453441408 has 128 divisors (see below), whose sum is σ = 1457637120. Its totient is φ = 121921536.

The previous prime is 453441397. The next prime is 453441413. The reversal of 453441408 is 804144354.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×453441408² = 411218220978044928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40735 + ... + 50657.

It is an arithmetic number, because the mean of its divisors is an integer number (11387790).

Almost surely, 2^453441408 is an apocalyptic number.

453441408 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 453441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728818560).

453441408 is an abundant number, since it is smaller than the sum of its proper divisors (1004195712).

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

453441408 is a wasteful number, since it uses less digits than its factorization.

453441408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9964 (or 9952 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 453441408 is about 21294.1637074575. The cubic root of 453441408 is about 768.2579428707.

The spelling of 453441408 in words is "four hundred fifty-three million, four hundred forty-one thousand, four hundred eight".