406992508416 has 640 divisors, whose sum is σ = 1330914816000. Its totient is φ = 122043138048.

The previous prime is 406992508409. The next prime is 406992508453. The reversal of 406992508416 is 614805299604.

406992508416 is a `hidden beast` number, since 4 + 0 + 6 + 9 + 92 + 508 + 41 + 6 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1547499901 + ... + 1547500163.

It is an arithmetic number, because the mean of its divisors is an integer number (2079554400).

Almost surely, 2^406992508416 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 406992508416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665457408000).

406992508416 is an abundant number, since it is smaller than the sum of its proper divisors (923922307584).

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

406992508416 is a wasteful number, since it uses less digits than its factorization.

406992508416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 406992508416 in words is "four hundred six billion, nine hundred ninety-two million, five hundred eight thousand, four hundred sixteen".