452453299200 has 1980 divisors, whose sum is σ = 2007997518252. Its totient is φ = 100329062400.

The previous prime is 452453299183. The next prime is 452453299217. The reversal of 452453299200 is 2992354254.

452453299200 is a `hidden beast` number, since 4 + 5 + 2 + 4 + 532 + 99 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (452453299183) and next prime (452453299217).

It can be written as a sum of positive squares in 6 ways, for example, as 71892624384 + 380560674816 = 268128^2 + 616896^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6197990364 + ... + 6197990436.

Almost surely, 2^452453299200 is an apocalyptic number.

452453299200 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 452453299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003998759126).

452453299200 is an abundant number, since it is smaller than the sum of its proper divisors (1555544219052).

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

452453299200 is a wasteful number, since it uses less digits than its factorization.

452453299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 452453299200 in words is "four hundred fifty-two billion, four hundred fifty-three million, two hundred ninety-nine thousand, two hundred".