416285640 has 144 divisors (see below), whose sum is σ = 1379212380. Its totient is φ = 108883200.

The previous prime is 416285621. The next prime is 416285689. The reversal of 416285640 is 46582614.

416285640 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 8 + 5 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 396089604 + 20196036 = 19902^2 + 4494^2 .

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 = 416285595 and 416285604.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3890467 + ... + 3890573.

Almost surely, 2^416285640 is an apocalyptic number.

416285640 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 416285640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689606190).

416285640 is an abundant number, since it is smaller than the sum of its proper divisors (962926740).

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

416285640 is a wasteful number, since it uses less digits than its factorization.

416285640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 416285640 is about 20403.0791793788. The cubic root of 416285640 is about 746.6730503635.

The spelling of 416285640 in words is "four hundred sixteen million, two hundred eighty-five thousand, six hundred forty".