452357842000 has 80 divisors (see below), whose sum is σ = 1095087691152. Its totient is φ = 180730329600.

The previous prime is 452357841997. The next prime is 452357842009. The reversal of 452357842000 is 248753254.

It can be written as a sum of positive squares in 8 ways, for example, as 121346329104 + 331011512896 = 348348^2 + 575336^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452357842009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1573422 + ... + 1838578.

Almost surely, 2^452357842000 is an apocalyptic number.

452357842000 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 452357842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547543845576).

452357842000 is an abundant number, since it is smaller than the sum of its proper divisors (642729849152).

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

452357842000 is a wasteful number, since it uses less digits than its factorization.

452357842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266033 (or 266017 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 452357842000 in words is "four hundred fifty-two billion, three hundred fifty-seven million, eight hundred forty-two thousand".