451681468 has 48 divisors (see below), whose sum is σ = 929101824. Its totient is φ = 188121600.

The previous prime is 451681457. The next prime is 451681487. The reversal of 451681468 is 864186154.

It is a super-2 number, since 2×451681468² = 408032297069270048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197580 + ... + 199852.

It is an arithmetic number, because the mean of its divisors is an integer number (19356288).

Almost surely, 2^451681468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451681468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464550912).

451681468 is an abundant number, since it is smaller than the sum of its proper divisors (477420356).

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

451681468 is a wasteful number, since it uses less digits than its factorization.

451681468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2480 counting only the distinct ones).

The product of its digits is 184320, while the sum is 43.

The square root of 451681468 is about 21252.7990627117. The cubic root of 451681468 is about 767.2627088479.

The spelling of 451681468 in words is "four hundred fifty-one million, six hundred eighty-one thousand, four hundred sixty-eight".