407833488216 has 960 divisors, whose sum is σ = 1519487424000. Its totient is φ = 100186606080.

The previous prime is 407833488191. The next prime is 407833488221. The reversal of 407833488216 is 612884338704.

407833488216 is a `hidden beast` number, since 4 + 0 + 7 + 83 + 348 + 8 + 216 = 666.

It is a super-2 number, since 2×407833488216² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4582398700 + ... + 4582398788.

It is an arithmetic number, because the mean of its divisors is an integer number (1582799400).

Almost surely, 2^407833488216 is an apocalyptic number.

407833488216 is a gapful number since it is divisible by the number (46) 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 407833488216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759743712000).

407833488216 is an abundant number, since it is smaller than the sum of its proper divisors (1111653935784).

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

407833488216 is an equidigital number, since it uses as much as digits as its factorization.

407833488216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 407833488216 in words is "four hundred seven billion, eight hundred thirty-three million, four hundred eighty-eight thousand, two hundred sixteen".