406330464 has 96 divisors (see below), whose sum is σ = 1134435456. Its totient is φ = 126904320.

The previous prime is 406330453. The next prime is 406330511. The reversal of 406330464 is 464033604.

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

It is a zygodrome in base 2.

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, 500619 + ... + 501429.

It is an arithmetic number, because the mean of its divisors is an integer number (11817036).

Almost surely, 2^406330464 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 406330464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567217728).

406330464 is an abundant number, since it is smaller than the sum of its proper divisors (728104992).

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

406330464 is a wasteful number, since it uses less digits than its factorization.

406330464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 406330464 is about 20157.6403380951. The cubic root of 406330464 is about 740.6729111629.

The spelling of 406330464 in words is "four hundred six million, three hundred thirty thousand, four hundred sixty-four".