452405952000 has 640 divisors, whose sum is σ = 1744079800320. Its totient is φ = 115386163200.

The previous prime is 452405951983. The next prime is 452405952013. The reversal of 452405952000 is 259504254.

452405952000 is a `hidden beast` number, since 4 + 5 + 2 + 40 + 595 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×452405952000³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39738309 + ... + 39749691.

It is an arithmetic number, because the mean of its divisors is an integer number (2725124688).

Almost surely, 2^452405952000 is an apocalyptic number.

452405952000 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 452405952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872039900160).

452405952000 is an abundant number, since it is smaller than the sum of its proper divisors (1291673848320).

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

452405952000 is a wasteful number, since it uses less digits than its factorization.

452405952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11448 (or 11416 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 452405952000 in words is "four hundred fifty-two billion, four hundred five million, nine hundred fifty-two thousand".