452287415260800 has 3072 divisors, whose sum is σ = 2032875601920000. Its totient is φ = 95913329541120.

The previous prime is 452287415260799. The next prime is 452287415260801. The reversal of 452287415260800 is 8062514782254.

452287415260800 is a `hidden beast` number, since 4 + 5 + 2 + 28 + 7 + 4 + 1 + 5 + 2 + 608 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (452287415260799) and next prime (452287415260801).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (452287415260801) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 115291207639 + ... + 115291211561.

It is an arithmetic number, because the mean of its divisors is an integer number (661743360000).

Almost surely, 2^{452287415260800} is an apocalyptic number.

452287415260800 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 452287415260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016437800960000).

452287415260800 is an abundant number, since it is smaller than the sum of its proper divisors (1580588186659200).

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

452287415260800 is a wasteful number, since it uses less digits than its factorization.

452287415260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 452287415260800 in words is "four hundred fifty-two trillion, two hundred eighty-seven billion, four hundred fifteen million, two hundred sixty thousand, eight hundred".