451233090 has 384 divisors, whose sum is σ = 1617408000. Its totient is φ = 84395520.

The previous prime is 451233089. The next prime is 451233103. The reversal of 451233090 is 90332154.

451233090 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×451233090² = 407222603021896200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3028336 + ... + 3028484.

It is an arithmetic number, because the mean of its divisors is an integer number (4212000).

Almost surely, 2^451233090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451233090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808704000).

451233090 is an abundant number, since it is smaller than the sum of its proper divisors (1166174910).

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

451233090 is a wasteful number, since it uses less digits than its factorization.

451233090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 451233090 is about 21242.2477624191. The cubic root of 451233090 is about 767.0087410690.

The spelling of 451233090 in words is "four hundred fifty-one million, two hundred thirty-three thousand, ninety".