412188480 has 224 divisors, whose sum is σ = 1586666880. Its totient is φ = 99901440.

The previous prime is 412188479. The next prime is 412188509. The reversal of 412188480 is 84881214.

It is a happy number.

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

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 31 ways as a sum of consecutive naturals, for example, 92872 + ... + 97208.

Almost surely, 2^412188480 is an apocalyptic number.

412188480 is a gapful number since it is divisible by the number (40) 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 412188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793333440).

412188480 is an abundant number, since it is smaller than the sum of its proper divisors (1174478400).

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

412188480 is a wasteful number, since it uses less digits than its factorization.

412188480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 412188480 is about 20302.4254708643. The cubic root of 412188480 is about 744.2153382923.

The spelling of 412188480 in words is "four hundred twelve million, one hundred eighty-eight thousand, four hundred eighty".