400453000 has 96 divisors (see below), whose sum is σ = 980867160. Its totient is φ = 153014400.

The previous prime is 400452991. The next prime is 400453061. The reversal of 400453000 is 354004.

It can be written as a sum of positive squares in 4 ways, for example, as 139759684 + 260693316 = 11822^2 + 16146^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528622 + ... + 529378.

Almost surely, 2^400453000 is an apocalyptic number.

400453000 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 400453000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490433580).

400453000 is an abundant number, since it is smaller than the sum of its proper divisors (580414160).

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

400453000 is a wasteful number, since it uses less digits than its factorization.

400453000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 400453000 is about 20011.3217954237. The cubic root of 400453000 is about 737.0843391727.

The spelling of 400453000 in words is "four hundred million, four hundred fifty-three thousand".