454800528 has 320 divisors, whose sum is σ = 1679892480. Its totient is φ = 114504192.

The previous prime is 454800523. The next prime is 454800539. The reversal of 454800528 is 825008454.

454800528 is a `hidden beast` number, since 4 + 54 + 80 + 0 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 454800492 and 454800501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454800523) 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, 903925 + ... + 904427.

It is an arithmetic number, because the mean of its divisors is an integer number (5249664).

Almost surely, 2^454800528 is an apocalyptic number.

454800528 is a gapful number since it is divisible by the number (48) 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 454800528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839946240).

454800528 is an abundant number, since it is smaller than the sum of its proper divisors (1225091952).

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

454800528 is a wasteful number, since it uses less digits than its factorization.

454800528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 454800528 is about 21326.0527993344. The cubic root of 454800528 is about 769.0247550911.

The spelling of 454800528 in words is "four hundred fifty-four million, eight hundred thousand, five hundred twenty-eight".