451054072 has 64 divisors (see below), whose sum is σ = 1022515200. Its totient is φ = 182217600.

The previous prime is 451054049. The next prime is 451054103. The reversal of 451054072 is 270450154.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 451054072.

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, 236322 + ... + 238222.

It is an arithmetic number, because the mean of its divisors is an integer number (15976800).

Almost surely, 2^451054072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451054072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511257600).

451054072 is an abundant number, since it is smaller than the sum of its proper divisors (571461128).

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

451054072 is a wasteful number, since it uses less digits than its factorization.

451054072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 451054072 is about 21238.0336189582. The cubic root of 451054072 is about 766.9072956919.

The spelling of 451054072 in words is "four hundred fifty-one million, fifty-four thousand, seventy-two".