452420800 has 84 divisors (see below), whose sum is σ = 1198926736. Its totient is φ = 167040000.

The previous prime is 452420797. The next prime is 452420807. The reversal of 452420800 is 8024254.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (452420807) 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, 9925 + ... + 31675.

Almost surely, 2^452420800 is an apocalyptic number.

452420800 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 452420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599463368).

452420800 is an abundant number, since it is smaller than the sum of its proper divisors (746505936).

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

452420800 is a wasteful number, since it uses less digits than its factorization.

452420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21786 (or 21771 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 452420800 is about 21270.1857067587. The cubic root of 452420800 is about 767.6811103749.

Subtracting from 452420800 its product of nonzero digits (2560), we obtain a triangular number (452418240 = T₃₀₀₈₀).

The spelling of 452420800 in words is "four hundred fifty-two million, four hundred twenty thousand, eight hundred".