451442154960 has 240 divisors, whose sum is σ = 1657059655680. Its totient is φ = 109648097280.

The previous prime is 451442154959. The next prime is 451442155013. The reversal of 451442154960 is 69451244154.

451442154960 is a `hidden beast` number, since 4 + 5 + 1 + 4 + 42 + 1 + 549 + 60 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215440 + ... + 974319.

It is an arithmetic number, because the mean of its divisors is an integer number (6904415232).

Almost surely, 2^451442154960 is an apocalyptic number.

451442154960 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 451442154960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828529827840).

451442154960 is an abundant number, since it is smaller than the sum of its proper divisors (1205617500720).

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

451442154960 is a wasteful number, since it uses less digits than its factorization.

451442154960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189826 (or 1189817 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 451442154960 in words is "four hundred fifty-one billion, four hundred forty-two million, one hundred fifty-four thousand, nine hundred sixty".