406248640 has 56 divisors (see below), whose sum is σ = 1105582752. Its totient is φ = 139284480.

The previous prime is 406248631. The next prime is 406248653. The reversal of 406248640 is 46842604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 406248596 and 406248605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88441 + ... + 92920.

Almost surely, 2^406248640 is an apocalyptic number.

406248640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406248640 is an abundant number, since it is smaller than the sum of its proper divisors (699334112).

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

406248640 is a wasteful number, since it uses less digits than its factorization.

406248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181385 (or 181375 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 406248640 is about 20155.6106332703. The cubic root of 406248640 is about 740.6231906405.

The spelling of 406248640 in words is "four hundred six million, two hundred forty-eight thousand, six hundred forty".