451078272 has 192 divisors, whose sum is σ = 1420623360. Its totient is φ = 136765440.

The previous prime is 451078261. The next prime is 451078291. The reversal of 451078272 is 272870154.

451078272 is a `hidden beast` number, since 4 + 510 + 78 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 606733 + ... + 607475.

It is an arithmetic number, because the mean of its divisors is an integer number (7399080).

Almost surely, 2^451078272 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 451078272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710311680).

451078272 is an abundant number, since it is smaller than the sum of its proper divisors (969545088).

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

451078272 is a wasteful number, since it uses less digits than its factorization.

451078272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 451078272 is about 21238.6033439113. The cubic root of 451078272 is about 766.9210108432.

The spelling of 451078272 in words is "four hundred fifty-one million, seventy-eight thousand, two hundred seventy-two".