452231942400 has 1512 divisors, whose sum is σ = 1958029719744. Its totient is φ = 101224857600.

The previous prime is 452231942341. The next prime is 452231942429. The reversal of 452231942400 is 4249132254.

It is a happy number.

452231942400 is a `hidden beast` number, since 4 + 5 + 223 + 1 + 9 + 424 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 167 ways as a sum of consecutive naturals, for example, 1992211087 + ... + 1992211313.

Almost surely, 2^452231942400 is an apocalyptic number.

452231942400 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 452231942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979014859872).

452231942400 is an abundant number, since it is smaller than the sum of its proper divisors (1505797777344).

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

452231942400 is an equidigital number, since it uses as much as digits as its factorization.

452231942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 452231942400 in words is "four hundred fifty-two billion, two hundred thirty-one million, nine hundred forty-two thousand, four hundred".