451792152 has 144 divisors (see below), whose sum is σ = 1442282400. Its totient is φ = 127370880.

The previous prime is 451792141. The next prime is 451792217. The reversal of 451792152 is 251297154.

451792152 is a `hidden beast` number, since 4 + 517 + 92 + 1 + 52 = 666.

It is a super-2 number, since 2×451792152² = 408232297217582208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 277902 + ... + 279522.

It is an arithmetic number, because the mean of its divisors is an integer number (10015850).

Almost surely, 2^451792152 is an apocalyptic number.

451792152 is a gapful number since it is divisible by the number (42) 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 451792152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721141200).

451792152 is an abundant number, since it is smaller than the sum of its proper divisors (990490248).

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

451792152 is a wasteful number, since it uses less digits than its factorization.

451792152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1712 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 451792152 is about 21255.4028896184. The cubic root of 451792152 is about 767.3253759970.

It can be divided in two parts, 4517 and 92152, that added together give a palindrome (96669).

The spelling of 451792152 in words is "four hundred fifty-one million, seven hundred ninety-two thousand, one hundred fifty-two".