406400761 has 16 divisors (see below), whose sum is σ = 445528384. Its totient is φ = 368432064.

The previous prime is 406400741. The next prime is 406400779. The reversal of 406400761 is 167004604.

It is not a de Polignac number, because 406400761 - 2¹⁵ = 406367993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406400741) 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, 476011 + ... + 476863.

It is an arithmetic number, because the mean of its divisors is an integer number (27845524).

Almost surely, 2^406400761 is an apocalyptic number.

It is an amenable number.

406400761 is a deficient number, since it is larger than the sum of its proper divisors (39127623).

406400761 is a wasteful number, since it uses less digits than its factorization.

406400761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 406400761 is about 20159.3839439602. The cubic root of 406400761 is about 740.7156219495.

The spelling of 406400761 in words is "four hundred six million, four hundred thousand, seven hundred sixty-one".