451500160 has 64 divisors (see below), whose sum is σ = 1082695320. Its totient is φ = 180043776.

The previous prime is 451500157. The next prime is 451500167. The reversal of 451500160 is 61005154.

It can be written as a sum of positive squares in 4 ways, for example, as 391406656 + 60093504 = 19784^2 + 7752^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (451500167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253192 + ... + 254968.

Almost surely, 2^451500160 is an apocalyptic number.

451500160 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 451500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541347660).

451500160 is an abundant number, since it is smaller than the sum of its proper divisors (631195160).

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

451500160 is a wasteful number, since it uses less digits than its factorization.

451500160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 451500160 is about 21248.5331258419. The cubic root of 451500160 is about 767.1600336261.

The spelling of 451500160 in words is "four hundred fifty-one million, five hundred thousand, one hundred sixty".