416520400 has 60 divisors (see below), whose sum is σ = 1059571692. Its totient is φ = 156805120.

The previous prime is 416520389. The next prime is 416520437. The reversal of 416520400 is 4025614.

It can be written as a sum of positive squares in 6 ways, for example, as 19395216 + 397125184 = 4404^2 + 19928^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 23827 + ... + 37426.

Almost surely, 2^416520400 is an apocalyptic number.

416520400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416520400 is an abundant number, since it is smaller than the sum of its proper divisors (643051292).

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

416520400 is a wasteful number, since it uses less digits than its factorization.

416520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61288 (or 61277 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 416520400 is about 20408.8314217155. The cubic root of 416520400 is about 746.8133835130.

The spelling of 416520400 in words is "four hundred sixteen million, five hundred twenty thousand, four hundred".