412478208 has 108 divisors (see below), whose sum is σ = 1259353368. Its totient is φ = 129392640.

The previous prime is 412478189. The next prime is 412478291. The reversal of 412478208 is 802874214.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33903 + ... + 44433.

Almost surely, 2^412478208 is an apocalyptic number.

412478208 is a gapful number since it is divisible by the number (48) 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 412478208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629676684).

412478208 is an abundant number, since it is smaller than the sum of its proper divisors (846875160).

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

412478208 is a wasteful number, since it uses less digits than its factorization.

412478208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10570 (or 10553 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 412478208 is about 20309.5595225500. The cubic root of 412478208 is about 744.3896675387.

It can be divided in two parts, 412478 and 208, that added together give a triangular number (412686 = T₉₀₈).

The spelling of 412478208 in words is "four hundred twelve million, four hundred seventy-eight thousand, two hundred eight".