407984710896 has 320 divisors, whose sum is σ = 1380623539200. Its totient is φ = 112914238464.

The previous prime is 407984710853. The next prime is 407984710943. The reversal of 407984710896 is 698017489704.

407984710896 is a `hidden beast` number, since 4 + 0 + 79 + 8 + 471 + 0 + 8 + 96 = 666.

It is a super-2 number, since 2×407984710896² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 25614391 + ... + 25630313.

It is an arithmetic number, because the mean of its divisors is an integer number (4314448560).

Almost surely, 2^407984710896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407984710896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690311769600).

407984710896 is an abundant number, since it is smaller than the sum of its proper divisors (972638828304).

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

407984710896 is a wasteful number, since it uses less digits than its factorization.

407984710896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16213 (or 16201 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 407984710896 in words is "four hundred seven billion, nine hundred eighty-four million, seven hundred ten thousand, eight hundred ninety-six".