412174224 has 160 divisors (see below), whose sum is σ = 1475143680. Its totient is φ = 107049600.

The previous prime is 412174223. The next prime is 412174247. The reversal of 412174224 is 422471214.

It is a super-3 number, since 3×412174224³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (412174223) 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 31 ways as a sum of consecutive naturals, for example, 27069 + ... + 39459.

It is an arithmetic number, because the mean of its divisors is an integer number (9219648).

Almost surely, 2^412174224 is an apocalyptic number.

412174224 is a gapful number since it is divisible by the number (44) 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 412174224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737571840).

412174224 is an abundant number, since it is smaller than the sum of its proper divisors (1062969456).

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

412174224 is a wasteful number, since it uses less digits than its factorization.

412174224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12426 (or 12414 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 412174224 is about 20302.0743767724. The cubic root of 412174224 is about 744.2067583532.

The spelling of 412174224 in words is "four hundred twelve million, one hundred seventy-four thousand, two hundred twenty-four".