453446400 has 432 divisors, whose sum is σ = 1733639040. Its totient is φ = 103219200.

The previous prime is 453446387. The next prime is 453446417. The reversal of 453446400 is 4644354.

It is a super-2 number, since 2×453446400² = 411227275345920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4012744 + ... + 4012856.

Almost surely, 2^453446400 is an apocalyptic number.

453446400 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 453446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866819520).

453446400 is an abundant number, since it is smaller than the sum of its proper divisors (1280192640).

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

453446400 is a wasteful number, since it uses less digits than its factorization.

453446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 453446400 is about 21294.2809223510. The cubic root of 453446400 is about 768.2607621468.

The spelling of 453446400 in words is "four hundred fifty-three million, four hundred forty-six thousand, four hundred".