416242000 has 40 divisors (see below), whose sum is σ = 1006477992. Its totient is φ = 166496000.

The previous prime is 416241961. The next prime is 416242003. The reversal of 416242000 is 242614.

It can be written as a sum of positive squares in 4 ways, for example, as 84419344 + 331822656 = 9188^2 + 18216^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416242003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102061 + ... + 106060.

Almost surely, 2^416242000 is an apocalyptic number.

416242000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416242000 is an abundant number, since it is smaller than the sum of its proper divisors (590235992).

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

416242000 is a wasteful number, since it uses less digits than its factorization.

416242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208144 (or 208128 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 416242000 is about 20402.0097049286. The cubic root of 416242000 is about 746.6469577422.

Adding to 416242000 its reverse (242614), we get a palindrome (416484614).

The spelling of 416242000 in words is "four hundred sixteen million, two hundred forty-two thousand".