454533408 has 216 divisors, whose sum is σ = 1553610240. Its totient is φ = 125556480.

The previous prime is 454533407. The next prime is 454533433. The reversal of 454533408 is 804335454.

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 (454533407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 436953 + ... + 437991.

It is an arithmetic number, because the mean of its divisors is an integer number (7192640).

Almost surely, 2^454533408 is an apocalyptic number.

454533408 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 454533408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776805120).

454533408 is an abundant number, since it is smaller than the sum of its proper divisors (1099076832).

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

454533408 is a wasteful number, since it uses less digits than its factorization.

454533408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 454533408 is about 21319.7891171559. The cubic root of 454533408 is about 768.8741673717.

The spelling of 454533408 in words is "four hundred fifty-four million, five hundred thirty-three thousand, four hundred eight".