412948480 has 144 divisors (see below), whose sum is σ = 1154003760. Its totient is φ = 141410304.

The previous prime is 412948469. The next prime is 412948483. The reversal of 412948480 is 84849214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412948483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 501349 + ... + 502171.

It is an arithmetic number, because the mean of its divisors is an integer number (8013915).

Almost surely, 2^412948480 is an apocalyptic number.

412948480 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 412948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577001880).

412948480 is an abundant number, since it is smaller than the sum of its proper divisors (741055280).

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

412948480 is an equidigital number, since it uses as much as digits as its factorization.

412948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 412948480 is about 20321.1338266348. The cubic root of 412948480 is about 744.6724563479.

The spelling of 412948480 in words is "four hundred twelve million, nine hundred forty-eight thousand, four hundred eighty".