454168400 has 120 divisors (see below), whose sum is σ = 1312802880. Its totient is φ = 147502080.

The previous prime is 454168399. The next prime is 454168433. The reversal of 454168400 is 4861454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48932 + ... + 57468.

It is an arithmetic number, because the mean of its divisors is an integer number (10940024).

Almost surely, 2^454168400 is an apocalyptic number.

454168400 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 454168400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656401440).

454168400 is an abundant number, since it is smaller than the sum of its proper divisors (858634480).

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

454168400 is a wasteful number, since it uses less digits than its factorization.

454168400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8581 (or 8570 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 454168400 is about 21311.2270880867. The cubic root of 454168400 is about 768.6683003047.

The spelling of 454168400 in words is "four hundred fifty-four million, one hundred sixty-eight thousand, four hundred".