451164040 has 16 divisors (see below), whose sum is σ = 1015119180. Its totient is φ = 180465600.

The previous prime is 451164029. The next prime is 451164059. The reversal of 451164040 is 40461154.

It can be written as a sum of positive squares in 2 ways, for example, as 416894724 + 34269316 = 20418^2 + 5854^2 .

It is a junction number, because it is equal to n+sod(n) for n = 451163996 and 451164014.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5639511 + ... + 5639590.

Almost surely, 2^451164040 is an apocalyptic number.

451164040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451164040 is an abundant number, since it is smaller than the sum of its proper divisors (563955140).

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

451164040 is a wasteful number, since it uses less digits than its factorization.

451164040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11279112 (or 11279108 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 451164040 is about 21240.6224014269. The cubic root of 451164040 is about 766.9696152037.

The spelling of 451164040 in words is "four hundred fifty-one million, one hundred sixty-four thousand, forty".