412435152 has 240 divisors, whose sum is σ = 1276084992. Its totient is φ = 128770560.

The previous prime is 412435141. The next prime is 412435157. The reversal of 412435152 is 251534214.

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

Its product of digits (4800) is a multiple of the sum of its prime divisors (150).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412435157) 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 47 ways as a sum of consecutive naturals, for example, 6761202 + ... + 6761262.

Almost surely, 2^412435152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412435152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638042496).

412435152 is an abundant number, since it is smaller than the sum of its proper divisors (863649840).

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

412435152 is a wasteful number, since it uses less digits than its factorization.

412435152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 412435152 is about 20308.4995014403. The cubic root of 412435152 is about 744.3637659225.

Adding to 412435152 its reverse (251534214), we get a palindrome (663969366).

The spelling of 412435152 in words is "four hundred twelve million, four hundred thirty-five thousand, one hundred fifty-two".