412127352 has 320 divisors, whose sum is σ = 1475812800. Its totient is φ = 104509440.

The previous prime is 412127329. The next prime is 412127357. The reversal of 412127352 is 253721214.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412127357) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1709952 + ... + 1710192.

It is an arithmetic number, because the mean of its divisors is an integer number (4611915).

Almost surely, 2^412127352 is an apocalyptic number.

412127352 is a gapful number since it is divisible by the number (42) 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 412127352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737906400).

412127352 is an abundant number, since it is smaller than the sum of its proper divisors (1063685448).

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

412127352 is a wasteful number, since it uses less digits than its factorization.

412127352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 295 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 412127352 is about 20300.9199791537. The cubic root of 412127352 is about 744.1785471587.

Adding to 412127352 its reverse (253721214), we get a palindrome (665848566).

The spelling of 412127352 in words is "four hundred twelve million, one hundred twenty-seven thousand, three hundred fifty-two".