451900928 has 40 divisors (see below), whose sum is σ = 904863960. Its totient is φ = 225464320.

The previous prime is 451900927. The next prime is 451900951. The reversal of 451900928 is 829009154.

It is a super-2 number, since 2×451900928² = 408428897454522368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 451900891 and 451900900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451900927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 413663 + ... + 414753.

It is an arithmetic number, because the mean of its divisors is an integer number (22621599).

Almost surely, 2^451900928 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 451900928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452431980).

451900928 is an abundant number, since it is smaller than the sum of its proper divisors (452963032).

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

451900928 is an equidigital number, since it uses as much as digits as its factorization.

451900928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 451900928 is about 21257.9615203340. The cubic root of 451900928 is about 767.3869529021.

The spelling of 451900928 in words is "four hundred fifty-one million, nine hundred thousand, nine hundred twenty-eight".