416355880 has 16 divisors (see below), whose sum is σ = 936800820. Its totient is φ = 166542336.

The previous prime is 416355851. The next prime is 416355881. The reversal of 416355880 is 88553614.

It can be written as a sum of positive squares in 2 ways, for example, as 402323364 + 14032516 = 20058^2 + 3746^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 10408897 = 416355880 / (4 + 1 + 6 + 3 + 5 + 5 + 8 + 8 + 0).

It is not an unprimeable number, because it can be changed into a prime (416355881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5204409 + ... + 5204488.

Almost surely, 2^416355880 is an apocalyptic number.

416355880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416355880 is an abundant number, since it is smaller than the sum of its proper divisors (520444940).

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

416355880 is a wasteful number, since it uses less digits than its factorization.

416355880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10408908 (or 10408904 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 416355880 is about 20404.8004155885. The cubic root of 416355880 is about 746.7150434571.

The spelling of 416355880 in words is "four hundred sixteen million, three hundred fifty-five thousand, eight hundred eighty".