451600128 has 108 divisors (see below), whose sum is σ = 1488138288. Its totient is φ = 129024000.

The previous prime is 451600073. The next prime is 451600153. The reversal of 451600128 is 821006154.

451600128 is a `hidden beast` number, since 4 + 51 + 600 + 1 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2128 + ... + 30128.

Almost surely, 2^451600128 is an apocalyptic number.

451600128 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 451600128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744069144).

451600128 is an abundant number, since it is smaller than the sum of its proper divisors (1036538160).

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

451600128 is a wasteful number, since it uses less digits than its factorization.

451600128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28030 (or 28013 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 451600128 is about 21250.8853462626. The cubic root of 451600128 is about 767.2166491799.

The spelling of 451600128 in words is "four hundred fifty-one million, six hundred thousand, one hundred twenty-eight".