407984271600 has 480 divisors, whose sum is σ = 1459774068480. Its totient is φ = 96796753920.

The previous prime is 407984271529. The next prime is 407984271641. The reversal of 407984271600 is 6172489704.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 407984271600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249225982 + ... + 249227618.

It is an arithmetic number, because the mean of its divisors is an integer number (3041195976).

Almost surely, 2^407984271600 is an apocalyptic number.

407984271600 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 407984271600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729887034240).

407984271600 is an abundant number, since it is smaller than the sum of its proper divisors (1051789796880).

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

407984271600 is a wasteful number, since it uses less digits than its factorization.

407984271600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 407984271600 in words is "four hundred seven billion, nine hundred eighty-four million, two hundred seventy-one thousand, six hundred".