412197408 has 108 divisors (see below), whose sum is σ = 1363610430. Its totient is φ = 117766656.

The previous prime is 412197407. The next prime is 412197449. The reversal of 412197408 is 804791214.

It can be written as a sum of positive squares in only one way, i.e., 363588624 + 48608784 = 19068^2 + 6972^2 .

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

It is not an unprimeable number, because it can be changed into a prime (412197403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 493 + ... + 28716.

Almost surely, 2^412197408 is an apocalyptic number.

412197408 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 412197408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681805215).

412197408 is an abundant number, since it is smaller than the sum of its proper divisors (951413022).

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

412197408 is a wasteful number, since it uses less digits than its factorization.

412197408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29239 (or 29221 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 412197408 is about 20302.6453448806. The cubic root of 412197408 is about 744.2207114867.

The spelling of 412197408 in words is "four hundred twelve million, one hundred ninety-seven thousand, four hundred eight".