451161600 has 240 divisors, whose sum is σ = 1542520320. Its totient is φ = 116121600.

The previous prime is 451161563. The next prime is 451161611. The reversal of 451161600 is 6161154.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1190211 + ... + 1190589.

It is an arithmetic number, because the mean of its divisors is an integer number (6427168).

Almost surely, 2^451161600 is an apocalyptic number.

451161600 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 451161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771260160).

451161600 is an abundant number, since it is smaller than the sum of its proper divisors (1091358720).

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

451161600 is a wasteful number, since it uses less digits than its factorization.

451161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 451161600 is about 21240.5649642377. The cubic root of 451161600 is about 766.9682325512.

The spelling of 451161600 in words is "four hundred fifty-one million, one hundred sixty-one thousand, six hundred".