454532000 has 96 divisors (see below), whose sum is σ = 1202829264. Its totient is φ = 167808000.

The previous prime is 454531997. The next prime is 454532011. The reversal of 454532000 is 235454.

It can be written as a sum of positive squares in 8 ways, for example, as 15713296 + 438818704 = 3964^2 + 20948^2 .

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, 47630 + ... + 56370.

Almost surely, 2^454532000 is an apocalyptic number.

454532000 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 454532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601414632).

454532000 is an abundant number, since it is smaller than the sum of its proper divisors (748297264).

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

454532000 is a wasteful number, since it uses less digits than its factorization.

454532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8779 (or 8761 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 454532000 is about 21319.7560961658. The cubic root of 454532000 is about 768.8733734616.

Adding to 454532000 its reverse (235454), we get a palindrome (454767454).

The spelling of 454532000 in words is "four hundred fifty-four million, five hundred thirty-two thousand".