452253434761520 has 320 divisors, whose sum is σ = 1237129051530240. Its totient is φ = 150533384601600.

The previous prime is 452253434761493. The next prime is 452253434761523. The reversal of 452253434761520 is 25167434352254.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (452253434761523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3023434091 + ... + 3023583669.

It is an arithmetic number, because the mean of its divisors is an integer number (3866028286032).

Almost surely, 2^{452253434761520} is an apocalyptic number.

452253434761520 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 452253434761520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618564525765120).

452253434761520 is an abundant number, since it is smaller than the sum of its proper divisors (784875616768720).

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

452253434761520 is a wasteful number, since it uses less digits than its factorization.

452253434761520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150404 (or 150398 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 53.

The spelling of 452253434761520 in words is "four hundred fifty-two trillion, two hundred fifty-three billion, four hundred thirty-four million, seven hundred sixty-one thousand, five hundred twenty".