406849536 has 72 divisors (see below), whose sum is σ = 1175109390. Its totient is φ = 135610368.

The previous prime is 406849501. The next prime is 406849561. The reversal of 406849536 is 635948604.

It can be written as a sum of positive squares in only one way, i.e., 238887936 + 167961600 = 15456^2 + 12960^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 406849491 and 406849500.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7396 + ... + 29468.

Almost surely, 2^406849536 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 406849536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587554695).

406849536 is an abundant number, since it is smaller than the sum of its proper divisors (768259854).

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

406849536 is a wasteful number, since it uses less digits than its factorization.

406849536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22101 (or 22078 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 406849536 is about 20170.5115453228. The cubic root of 406849536 is about 740.9881709553.

The spelling of 406849536 in words is "four hundred six million, eight hundred forty-nine thousand, five hundred thirty-six".