452879199360 has 1024 divisors, whose sum is σ = 1890345600000. Its totient is φ = 102419251200.

The previous prime is 452879199359. The next prime is 452879199373. The reversal of 452879199360 is 63991978254.

452879199360 is a `hidden beast` number, since 4 + 5 + 2 + 87 + 9 + 199 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 646047010 + ... + 646047710.

It is an arithmetic number, because the mean of its divisors is an integer number (1846040625).

It is a 1-persistent number, because it is pandigital, but 2⋅452879199360 = 905758398720 is not.

Almost surely, 2^452879199360 is an apocalyptic number.

452879199360 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 452879199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945172800000).

452879199360 is an abundant number, since it is smaller than the sum of its proper divisors (1437466400640).

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

452879199360 is a wasteful number, since it uses less digits than its factorization.

452879199360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 452879199360 in words is "four hundred fifty-two billion, eight hundred seventy-nine million, one hundred ninety-nine thousand, three hundred sixty".