452004966000 has 480 divisors, whose sum is σ = 1808729460096. Its totient is φ = 103057920000.

The previous prime is 452004965983. The next prime is 452004966053. The reversal of 452004966000 is 669400254.

452004966000 is a `hidden beast` number, since 4 + 5 + 2 + 0 + 0 + 49 + 6 + 600 + 0 = 666.

It is a super-2 number, since 2×452004966000² (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 53041740 + ... + 53050260.

Almost surely, 2^452004966000 is an apocalyptic number.

452004966000 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 452004966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904364730048).

452004966000 is an abundant number, since it is smaller than the sum of its proper divisors (1356724494096).

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

452004966000 is a wasteful number, since it uses less digits than its factorization.

452004966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8978 (or 8959 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 452004966000 in words is "four hundred fifty-two billion, four million, nine hundred sixty-six thousand".