452971008 has 320 divisors, whose sum is σ = 1592279040. Its totient is φ = 124416000.

The previous prime is 452970997. The next prime is 452971021. The reversal of 452971008 is 800179254.

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 31 ways as a sum of consecutive naturals, for example, 2999733 + ... + 2999883.

It is an arithmetic number, because the mean of its divisors is an integer number (4975872).

Almost surely, 2^452971008 is an apocalyptic number.

452971008 is a gapful number since it is divisible by the number (48) 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 452971008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796139520).

452971008 is an abundant number, since it is smaller than the sum of its proper divisors (1139308032).

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

452971008 is a wasteful number, since it uses less digits than its factorization.

452971008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 452971008 is about 21283.1155614022. The cubic root of 452971008 is about 767.9921874205.

The spelling of 452971008 in words is "four hundred fifty-two million, nine hundred seventy-one thousand, eight".