407285640 has 96 divisors (see below), whose sum is σ = 1359497880. Its totient is φ = 105670656.

The previous prime is 407285591. The next prime is 407285687. The reversal of 407285640 is 46582704.

407285640 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 8 + 5 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 368870436 + 38415204 = 19206^2 + 6198^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 407285595 and 407285604.

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 23 ways as a sum of consecutive naturals, for example, 1969 + ... + 28608.

Almost surely, 2^407285640 is an apocalyptic number.

407285640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407285640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679748940).

407285640 is an abundant number, since it is smaller than the sum of its proper divisors (952212240).

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

407285640 is a wasteful number, since it uses less digits than its factorization.

407285640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30631 (or 30624 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 407285640 is about 20181.3190847377. The cubic root of 407285640 is about 741.2528326907.

The spelling of 407285640 in words is "four hundred seven million, two hundred eighty-five thousand, six hundred forty".