451401585480 has 640 divisors, whose sum is σ = 1637535398400. Its totient is φ = 111122399232.

The previous prime is 451401585461. The next prime is 451401585589. The reversal of 451401585480 is 84585104154.

451401585480 is a `hidden beast` number, since 4 + 5 + 14 + 0 + 158 + 5 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 987749412 + ... + 987749868.

It is an arithmetic number, because the mean of its divisors is an integer number (2558649060).

Almost surely, 2^451401585480 is an apocalyptic number.

451401585480 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 451401585480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818767699200).

451401585480 is an abundant number, since it is smaller than the sum of its proper divisors (1186133812920).

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

451401585480 is a wasteful number, since it uses less digits than its factorization.

451401585480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 451401585480 in words is "four hundred fifty-one billion, four hundred one million, five hundred eighty-five thousand, four hundred eighty".