416370320 has 20 divisors (see below), whose sum is σ = 968061180. Its totient is φ = 166548096.

The previous prime is 416370281. The next prime is 416370329. The reversal of 416370320 is 23073614.

It can be written as a sum of positive squares in 2 ways, for example, as 271986064 + 144384256 = 16492^2 + 12016^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 416370320.

It is not an unprimeable number, because it can be changed into a prime (416370329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2602235 + ... + 2602394.

It is an arithmetic number, because the mean of its divisors is an integer number (48403059).

Almost surely, 2^416370320 is an apocalyptic number.

416370320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416370320 is an abundant number, since it is smaller than the sum of its proper divisors (551690860).

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

416370320 is a wasteful number, since it uses less digits than its factorization.

416370320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204642 (or 5204636 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 416370320 is about 20405.1542508259. The cubic root of 416370320 is about 746.7236758484.

The spelling of 416370320 in words is "four hundred sixteen million, three hundred seventy thousand, three hundred twenty".