454014000 has 240 divisors, whose sum is σ = 1730630304. Its totient is φ = 110016000.

The previous prime is 454013981. The next prime is 454014023. The reversal of 454014000 is 410454.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×454014000² = 412257424392000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196854 + ... + 199146.

Almost surely, 2^454014000 is an apocalyptic number.

454014000 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 454014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865315152).

454014000 is an abundant number, since it is smaller than the sum of its proper divisors (1276616304).

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

454014000 is a wasteful number, since it uses less digits than its factorization.

454014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 454014000 is about 21307.6042764080. The cubic root of 454014000 is about 768.5811844264.

Adding to 454014000 its reverse (410454), we get a palindrome (454424454).

The spelling of 454014000 in words is "four hundred fifty-four million, fourteen thousand".