451058040 has 96 divisors (see below), whose sum is σ = 1470989520. Its totient is φ = 119867904.

The previous prime is 451057993. The next prime is 451058053. The reversal of 451058040 is 40850154.

451058040 is a `hidden beast` number, since 45 + 1 + 0 + 580 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 451057995 and 451058013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110679 + ... + 114681.

Almost surely, 2^451058040 is an apocalyptic number.

451058040 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 451058040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735494760).

451058040 is an abundant number, since it is smaller than the sum of its proper divisors (1019931480).

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

451058040 is a wasteful number, since it uses less digits than its factorization.

451058040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4326 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 451058040 is about 21238.1270360642. The cubic root of 451058040 is about 766.9095445569.

The spelling of 451058040 in words is "four hundred fifty-one million, fifty-eight thousand, forty".