406882749 has 64 divisors (see below), whose sum is σ = 692955648. Its totient is φ = 206668800.

The previous prime is 406882741. The next prime is 406882769. The reversal of 406882749 is 947288604.

It is not a de Polignac number, because 406882749 - 2³ = 406882741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 406882698 and 406882707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406882741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 882379 + ... + 882839.

It is an arithmetic number, because the mean of its divisors is an integer number (10827432).

Almost surely, 2^406882749 is an apocalyptic number.

It is an amenable number.

406882749 is a deficient number, since it is larger than the sum of its proper divisors (286072899).

406882749 is a wasteful number, since it uses less digits than its factorization.

406882749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598.

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 406882749 is about 20171.3348343633. The cubic root of 406882749 is about 741.0083338315.

The spelling of 406882749 in words is "four hundred six million, eight hundred eighty-two thousand, seven hundred forty-nine".