451052000 has 192 divisors, whose sum is σ = 1287861120. Its totient is φ = 152064000.

The previous prime is 451051999. The next prime is 451052023. The reversal of 451052000 is 250154.

It is a self number, because there is not a number n which added to its sum of digits gives 451052000.

It is a congruent number.

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, 2491910 + ... + 2492090.

It is an arithmetic number, because the mean of its divisors is an integer number (6707610).

Almost surely, 2^451052000 is an apocalyptic number.

451052000 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 451052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643930560).

451052000 is an abundant number, since it is smaller than the sum of its proper divisors (836809120).

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

451052000 is a wasteful number, since it uses less digits than its factorization.

451052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 451052000 is about 21237.9848384916. The cubic root of 451052000 is about 766.9061213801.

The spelling of 451052000 in words is "four hundred fifty-one million, fifty-two thousand".