454010400 has 144 divisors (see below), whose sum is σ = 1642082400. Its totient is φ = 121063680.

The previous prime is 454010371. The next prime is 454010411. The reversal of 454010400 is 4010454.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×454010400² = 412250886616320000, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11091 + ... + 32109.

It is an arithmetic number, because the mean of its divisors is an integer number (11403350).

Almost surely, 2^454010400 is an apocalyptic number.

454010400 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 454010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821041200).

454010400 is an abundant number, since it is smaller than the sum of its proper divisors (1188072000).

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

454010400 is a wasteful number, since it uses less digits than its factorization.

454010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21048 (or 21029 counting only the distinct ones).

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

The square root of 454010400 is about 21307.5197993572. The cubic root of 454010400 is about 768.5791529915.

Adding to 454010400 its reverse (4010454), we get a palindrome (458020854).

The spelling of 454010400 in words is "four hundred fifty-four million, ten thousand, four hundred".