406511616 has 224 divisors, whose sum is σ = 1321125120. Its totient is φ = 108527616.

The previous prime is 406511569. The next prime is 406511617. The reversal of 406511616 is 616115604.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406511617) 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, 2924475 + ... + 2924613.

It is an arithmetic number, because the mean of its divisors is an integer number (5897880).

Almost surely, 2^406511616 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 406511616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660562560).

406511616 is an abundant number, since it is smaller than the sum of its proper divisors (914613504).

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

406511616 is a wasteful number, since it uses less digits than its factorization.

406511616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 406511616 is about 20162.1332204705. The cubic root of 406511616 is about 740.7829648069.

The spelling of 406511616 in words is "four hundred six million, five hundred eleven thousand, six hundred sixteen".