412975488 has 192 divisors, whose sum is σ = 1218369600. Its totient is φ = 123577344.

The previous prime is 412975447. The next prime is 412975489. The reversal of 412975488 is 884579214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412975489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3859531 + ... + 3859637.

It is an arithmetic number, because the mean of its divisors is an integer number (6345675).

Almost surely, 2^412975488 is an apocalyptic number.

412975488 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 412975488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609184800).

412975488 is an abundant number, since it is smaller than the sum of its proper divisors (805394112).

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

412975488 is a wasteful number, since it uses less digits than its factorization.

412975488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 154 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 412975488 is about 20321.7983456189. The cubic root of 412975488 is about 744.6886905565.

The spelling of 412975488 in words is "four hundred twelve million, nine hundred seventy-five thousand, four hundred eighty-eight".