406899840 has 64 divisors (see below), whose sum is σ = 1296999360. Its totient is φ = 108506112.

The previous prime is 406899833. The next prime is 406899859. The reversal of 406899840 is 48998604.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 406899840.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104044 + ... + 107883.

It is an arithmetic number, because the mean of its divisors is an integer number (20265615).

Almost surely, 2^406899840 is an apocalyptic number.

406899840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406899840 is an abundant number, since it is smaller than the sum of its proper divisors (890099520).

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

406899840 is a wasteful number, since it uses less digits than its factorization.

406899840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211949 (or 211937 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 406899840 is about 20171.7584756511. The cubic root of 406899840 is about 741.0187089712.

The spelling of 406899840 in words is "four hundred six million, eight hundred ninety-nine thousand, eight hundred forty".