454532820 has 288 divisors, whose sum is σ = 1593446400. Its totient is φ = 96235776.

The previous prime is 454532807. The next prime is 454532849. The reversal of 454532820 is 28235454.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4412889 + ... + 4412991.

It is an arithmetic number, because the mean of its divisors is an integer number (5532800).

Almost surely, 2^454532820 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 454532820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796723200).

454532820 is an abundant number, since it is smaller than the sum of its proper divisors (1138913580).

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

454532820 is a wasteful number, since it uses less digits than its factorization.

454532820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 454532820 is about 21319.7753271464. The cubic root of 454532820 is about 768.8738358242.

The spelling of 454532820 in words is "four hundred fifty-four million, five hundred thirty-two thousand, eight hundred twenty".