451144960 has 108 divisors (see below), whose sum is σ = 1257237828. Its totient is φ = 154656768.

The previous prime is 451144937. The next prime is 451144999. The reversal of 451144960 is 69441154.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 84345856 + 366799104 = 9184^2 + 19152^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59124 + ... + 66316.

It is an arithmetic number, because the mean of its divisors is an integer number (11641091).

Almost surely, 2^451144960 is an apocalyptic number.

451144960 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 451144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628618914).

451144960 is an abundant number, since it is smaller than the sum of its proper divisors (806092868).

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

451144960 is an equidigital number, since it uses as much as digits as its factorization.

451144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7228 (or 7207 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 451144960 is about 21240.1732572971. The cubic root of 451144960 is about 766.9588031817.

The spelling of 451144960 in words is "four hundred fifty-one million, one hundred forty-four thousand, nine hundred sixty".