454401200 has 120 divisors (see below), whose sum is σ = 1211182896. Its totient is φ = 162432000.

The previous prime is 454401191. The next prime is 454401209. The reversal of 454401200 is 2104454.

It is an interprime number because it is at equal distance from previous prime (454401191) and next prime (454401209).

It is a super-2 number, since 2×454401200² = 412960901122880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (454401209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267554 + ... + 269246.

Almost surely, 2^454401200 is an apocalyptic number.

454401200 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 454401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605591448).

454401200 is an abundant number, since it is smaller than the sum of its proper divisors (756781696).

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

454401200 is a wasteful number, since it uses less digits than its factorization.

454401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 454401200 is about 21316.6882981386. The cubic root of 454401200 is about 768.7996138689.

Adding to 454401200 its reverse (2104454), we get a palindrome (456505654).

The spelling of 454401200 in words is "four hundred fifty-four million, four hundred one thousand, two hundred".