454553600 has 156 divisors (see below), whose sum is σ = 1182256176. Its totient is φ = 173015040.

The previous prime is 454553563. The next prime is 454553609. The reversal of 454553600 is 6355454.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454553609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2355104 + ... + 2355296.

Almost surely, 2^454553600 is an apocalyptic number.

454553600 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 454553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591128088).

454553600 is an abundant number, since it is smaller than the sum of its proper divisors (727702576).

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

454553600 is a wasteful number, since it uses less digits than its factorization.

454553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 454553600 is about 21320.2626625471. The cubic root of 454553600 is about 768.8855525835.

The spelling of 454553600 in words is "four hundred fifty-four million, five hundred fifty-three thousand, six hundred".