405974016 has 396 divisors, whose sum is σ = 1456153920. Its totient is φ = 108380160.

The previous prime is 405973979. The next prime is 405974017. The reversal of 405974016 is 610479504.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (405974017) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13095921 + ... + 13095951.

Almost surely, 2^405974016 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 405974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728076960).

405974016 is an abundant number, since it is smaller than the sum of its proper divisors (1050179904).

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

405974016 is a wasteful number, since it uses less digits than its factorization.

405974016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 405974016 is about 20148.7968871593. The cubic root of 405974016 is about 740.4562659779.

The spelling of 405974016 in words is "four hundred five million, nine hundred seventy-four thousand, sixteen".