406401736 has 24 divisors (see below), whose sum is σ = 825130530. Its totient is φ = 187569408.

The previous prime is 406401719. The next prime is 406401757. The reversal of 406401736 is 637104604.

It can be written as a sum of positive squares in 3 ways, for example, as 338339236 + 68062500 = 18394^2 + 8250^2 .

It is a junction number, because it is equal to n+sod(n) for n = 406401698 and 406401707.

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, 148945 + ... + 151648.

Almost surely, 2^406401736 is an apocalyptic number.

It is an amenable number.

406401736 is an abundant number, since it is smaller than the sum of its proper divisors (418728794).

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

406401736 is a wasteful number, since it uses less digits than its factorization.

406401736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300625 (or 300608 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 406401736 is about 20159.4081262323. The cubic root of 406401736 is about 740.7162143017.

The spelling of 406401736 in words is "four hundred six million, four hundred one thousand, seven hundred thirty-six".