451004160 has 144 divisors (see below), whose sum is σ = 1449163296. Its totient is φ = 119537664.

The previous prime is 451004153. The next prime is 451004209. The reversal of 451004160 is 61400154.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 986652 + ... + 987108.

It is an arithmetic number, because the mean of its divisors is an integer number (10063634).

Almost surely, 2^451004160 is an apocalyptic number.

451004160 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 451004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724581648).

451004160 is an abundant number, since it is smaller than the sum of its proper divisors (998159136).

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

451004160 is a wasteful number, since it uses less digits than its factorization.

451004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 451004160 is about 21236.8585247442. The cubic root of 451004160 is about 766.8790069261.

The spelling of 451004160 in words is "four hundred fifty-one million, four thousand, one hundred sixty".