451452690 has 192 divisors, whose sum is σ = 1356106752. Its totient is φ = 107308800.

The previous prime is 451452649. The next prime is 451452691. The reversal of 451452690 is 96254154.

451452690 is a `hidden beast` number, since 4 + 514 + 52 + 6 + 90 = 666.

It is a super-2 number, since 2×451452690² = 407619062616472200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (451452691) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 979060 + ... + 979520.

It is an arithmetic number, because the mean of its divisors is an integer number (7063056).

Almost surely, 2^451452690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451452690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678053376).

451452690 is an abundant number, since it is smaller than the sum of its proper divisors (904654062).

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

451452690 is a wasteful number, since it uses less digits than its factorization.

451452690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 451452690 is about 21247.4160781964. The cubic root of 451452690 is about 767.1331466934.

The spelling of 451452690 in words is "four hundred fifty-one million, four hundred fifty-two thousand, six hundred ninety".