454008000 has 112 divisors (see below), whose sum is σ = 1499213664. Its totient is φ = 121062400.

The previous prime is 454007987. The next prime is 454008043. The reversal of 454008000 is 800454.

It is a super-2 number, since 2×454008000² = 412246528128000000, which contains 22 as substring.

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, 14542 + ... + 33458.

Almost surely, 2^454008000 is an apocalyptic number.

454008000 is a gapful number since it is divisible by the number (40) 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 454008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749606832).

454008000 is an abundant number, since it is smaller than the sum of its proper divisors (1045205664).

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

454008000 is a wasteful number, since it uses less digits than its factorization.

454008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18947 (or 18927 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 454008000 is about 21307.4634811373. The cubic root of 454008000 is about 768.5777986957.

Adding to 454008000 its reverse (800454), we get a palindrome (454808454).

The spelling of 454008000 in words is "four hundred fifty-four million, eight thousand".