412235120 has 80 divisors (see below), whose sum is σ = 1067931648. Its totient is φ = 146699520.

The previous prime is 412235107. The next prime is 412235129. The reversal of 412235120 is 21532214.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×412235120² = 339875588322828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 412235092 and 412235101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412235129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36377 + ... + 46343.

Almost surely, 2^412235120 is an apocalyptic number.

412235120 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 412235120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533965824).

412235120 is an abundant number, since it is smaller than the sum of its proper divisors (655696528).

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

412235120 is a wasteful number, since it uses less digits than its factorization.

412235120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10038 (or 10032 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 412235120 is about 20303.5740696066. The cubic root of 412235120 is about 744.2434070812.

Adding to 412235120 its reverse (21532214), we get a palindrome (433767334).

It can be divided in two parts, 412 and 235120, that added together give a palindrome (235532).

The spelling of 412235120 in words is "four hundred twelve million, two hundred thirty-five thousand, one hundred twenty".