452012400 has 300 divisors, whose sum is σ = 1854914512. Its totient is φ = 103265280.

The previous prime is 452012389. The next prime is 452012417. The reversal of 452012400 is 4210254.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 225804 + ... + 227796.

Almost surely, 2^452012400 is an apocalyptic number.

452012400 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 452012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927457256).

452012400 is an abundant number, since it is smaller than the sum of its proper divisors (1402902112).

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

452012400 is a wasteful number, since it uses less digits than its factorization.

452012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 452012400 is about 21260.5832469385. The cubic root of 452012400 is about 767.4500457324.

Adding to 452012400 its reverse (4210254), we get a palindrome (456222654).

The spelling of 452012400 in words is "four hundred fifty-two million, twelve thousand, four hundred".