407887224416 has 96 divisors (see below), whose sum is σ = 950856459840. Its totient is φ = 168520697856.

The previous prime is 407887224413. The next prime is 407887224419. The reversal of 407887224416 is 614422788704.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (407887224413) and next prime (407887224419).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407887224413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4193810 + ... + 4289966.

It is an arithmetic number, because the mean of its divisors is an integer number (9904754790).

Almost surely, 2^407887224416 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 407887224416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475428229920).

407887224416 is an abundant number, since it is smaller than the sum of its proper divisors (542969235424).

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

407887224416 is a wasteful number, since it uses less digits than its factorization.

407887224416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96856 (or 96848 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 53.

The spelling of 407887224416 in words is "four hundred seven billion, eight hundred eighty-seven million, two hundred twenty-four thousand, four hundred sixteen".