451454160 has 80 divisors (see below), whose sum is σ = 1401696000. Its totient is φ = 120199680.

The previous prime is 451454153. The next prime is 451454161. The reversal of 451454160 is 61454154.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451454161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224841 + ... + 226839.

It is an arithmetic number, because the mean of its divisors is an integer number (17521200).

Almost surely, 2^451454160 is an apocalyptic number.

451454160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451454160 is an abundant number, since it is smaller than the sum of its proper divisors (950241840).

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

451454160 is a wasteful number, since it uses less digits than its factorization.

451454160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 451454160 is about 21247.4506706099. The cubic root of 451454160 is about 767.1339793274.

The spelling of 451454160 in words is "four hundred fifty-one million, four hundred fifty-four thousand, one hundred sixty".