406249536 has 112 divisors (see below), whose sum is σ = 1340144640. Its totient is φ = 105515520.

The previous prime is 406249531. The next prime is 406249541. The reversal of 406249536 is 635942604.

It is an interprime number because it is at equal distance from previous prime (406249531) and next prime (406249541).

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 406249494 and 406249503.

It is not an unprimeable number, because it can be changed into a prime (406249531) 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, 1045 + ... + 28523.

Almost surely, 2^406249536 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 406249536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670072320).

406249536 is an abundant number, since it is smaller than the sum of its proper divisors (933895104).

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

406249536 is a wasteful number, since it uses less digits than its factorization.

406249536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27512 (or 27502 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 406249536 is about 20155.6328603197. The cubic root of 406249536 is about 740.6237351329.

It can be divided in two parts, 406 and 249536, that added together give a palindrome (249942).

The spelling of 406249536 in words is "four hundred six million, two hundred forty-nine thousand, five hundred thirty-six".