406810464 has 96 divisors (see below), whose sum is σ = 1095929856. Its totient is φ = 132088320.

The previous prime is 406810451. The next prime is 406810477. The reversal of 406810464 is 464018604.

It is an interprime number because it is at equal distance from previous prime (406810451) and next prime (406810477).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 743439 + ... + 743985.

It is an arithmetic number, because the mean of its divisors is an integer number (11415936).

Almost surely, 2^406810464 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 406810464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547964928).

406810464 is an abundant number, since it is smaller than the sum of its proper divisors (689119392).

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

406810464 is a wasteful number, since it uses less digits than its factorization.

406810464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 406810464 is about 20169.5429794530. The cubic root of 406810464 is about 740.9644498053.

The spelling of 406810464 in words is "four hundred six million, eight hundred ten thousand, four hundred sixty-four".