452350080 has 384 divisors, whose sum is σ = 1924715520. Its totient is φ = 95330304.

The previous prime is 452350051. The next prime is 452350099. The reversal of 452350080 is 80053254.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523729 + ... + 524591.

It is an arithmetic number, because the mean of its divisors is an integer number (5012280).

Almost surely, 2^452350080 is an apocalyptic number.

452350080 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 452350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962357760).

452350080 is an abundant number, since it is smaller than the sum of its proper divisors (1472365440).

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

452350080 is a wasteful number, since it uses less digits than its factorization.

452350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 452350080 is about 21268.5232209479. The cubic root of 452350080 is about 767.6411083553.

The spelling of 452350080 in words is "four hundred fifty-two million, three hundred fifty thousand, eighty".