451879835280 has 320 divisors, whose sum is σ = 1525890908160. Its totient is φ = 110286950400.

The previous prime is 451879835273. The next prime is 451879835299. The reversal of 451879835280 is 82538978154.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15214845 + ... + 15244515.

It is an arithmetic number, because the mean of its divisors is an integer number (4768409088).

Almost surely, 2^451879835280 is an apocalyptic number.

451879835280 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 451879835280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762945454080).

451879835280 is an abundant number, since it is smaller than the sum of its proper divisors (1074011072880).

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

451879835280 is a wasteful number, since it uses less digits than its factorization.

451879835280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29830 (or 29824 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 60.

The spelling of 451879835280 in words is "four hundred fifty-one billion, eight hundred seventy-nine million, eight hundred thirty-five thousand, two hundred eighty".