407964493668984 has 256 divisors, whose sum is σ = 1205408651673600. Its totient is φ = 112595606323200.

The previous prime is 407964493668967. The next prime is 407964493669001. The reversal of 407964493668984 is 489866394469704.

It is an interprime number because it is at equal distance from previous prime (407964493668967) and next prime (407964493669001).

It is a self number, because there is not a number n which added to its sum of digits gives 407964493668984.

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, 6684953079 + ... + 6685014105.

It is an arithmetic number, because the mean of its divisors is an integer number (4708627545600).

Almost surely, 2^{407964493668984} 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 407964493668984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602704325836800).

407964493668984 is an abundant number, since it is smaller than the sum of its proper divisors (797444158004616).

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

407964493668984 is a wasteful number, since it uses less digits than its factorization.

407964493668984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63394 (or 63390 counting only the distinct ones).

The product of its (nonzero) digits is 54177693696, while the sum is 87.

The spelling of 407964493668984 in words is "four hundred seven trillion, nine hundred sixty-four billion, four hundred ninety-three million, six hundred sixty-eight thousand, nine hundred eighty-four".