452874240000 has 1920 divisors, whose sum is σ = 2086621817280. Its totient is φ = 95551488000.

The previous prime is 452874239957. The next prime is 452874240059. The reversal of 452874240000 is 42478254.

It is a tau number, because it is divible by the number of its divisors (1920).

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 119 ways as a sum of consecutive naturals, for example, 34836479994 + ... + 34836480006.

Almost surely, 2^452874240000 is an apocalyptic number.

452874240000 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 452874240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043310908640).

452874240000 is an abundant number, since it is smaller than the sum of its proper divisors (1633747577280).

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

452874240000 is an frugal number, since it uses more digits than its factorization.

452874240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 452874240000 in words is "four hundred fifty-two billion, eight hundred seventy-four million, two hundred forty thousand".