452451557376 has 1120 divisors, whose sum is σ = 1705132154880. Its totient is φ = 116381712384.

The previous prime is 452451557357. The next prime is 452451557387. The reversal of 452451557376 is 673755154254.

It is a happy number.

452451557376 is a `hidden beast` number, since 4 + 5 + 2 + 4 + 51 + 557 + 37 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3562610625 + ... + 3562610751.

It is an arithmetic number, because the mean of its divisors is an integer number (1522439424).

Almost surely, 2^452451557376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452451557376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852566077440).

452451557376 is an abundant number, since it is smaller than the sum of its proper divisors (1252680597504).

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

452451557376 is a wasteful number, since it uses less digits than its factorization.

452451557376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 211 counting only the distinct ones).

The product of its digits is 17640000, while the sum is 54.

The spelling of 452451557376 in words is "four hundred fifty-two billion, four hundred fifty-one million, five hundred fifty-seven thousand, three hundred seventy-six".