406484040 has 64 divisors (see below), whose sum is σ = 1240142400. Its totient is φ = 106556672.

The previous prime is 406484033. The next prime is 406484047. The reversal of 406484040 is 40484604.

It is an interprime number because it is at equal distance from previous prime (406484033) and next prime (406484047).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 406483989 and 406484007.

It is not an unprimeable number, because it can be changed into a prime (406484047) 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, 21627 + ... + 35786.

It is an arithmetic number, because the mean of its divisors is an integer number (19377225).

Almost surely, 2^406484040 is an apocalyptic number.

406484040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406484040 is an abundant number, since it is smaller than the sum of its proper divisors (833658360).

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

406484040 is a wasteful number, since it uses less digits than its factorization.

406484040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57486 (or 57482 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 406484040 is about 20161.4493526631. The cubic root of 406484040 is about 740.7662139178.

The spelling of 406484040 in words is "four hundred six million, four hundred eighty-four thousand, forty".