451729950720 has 192 divisors, whose sum is σ = 1508019327360. Its totient is φ = 115223691264.

The previous prime is 451729950703. The next prime is 451729950809. The reversal of 451729950720 is 27059927154.

It is a tau number, because it is divible by the number of its divisors (192).

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, 386892 + ... + 1026228.

It is an arithmetic number, because the mean of its divisors is an integer number (7854267330).

Almost surely, 2^451729950720 is an apocalyptic number.

451729950720 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 451729950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754009663680).

451729950720 is an abundant number, since it is smaller than the sum of its proper divisors (1056289376640).

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

451729950720 is a wasteful number, since it uses less digits than its factorization.

451729950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639390 (or 639370 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 451729950720 in words is "four hundred fifty-one billion, seven hundred twenty-nine million, nine hundred fifty thousand, seven hundred twenty".