454953408 has 168 divisors, whose sum is σ = 1490398848. Its totient is φ = 119927808.

The previous prime is 454953379. The next prime is 454953449. The reversal of 454953408 is 804359454.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 454953408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226135 + ... + 228137.

Almost surely, 2^454953408 is an apocalyptic number.

454953408 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 454953408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745199424).

454953408 is an abundant number, since it is smaller than the sum of its proper divisors (1035445440).

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

454953408 is a wasteful number, since it uses less digits than its factorization.

454953408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 454953408 is about 21329.6368464163. The cubic root of 454953408 is about 769.1109139866.

The spelling of 454953408 in words is "four hundred fifty-four million, nine hundred fifty-three thousand, four hundred eight".