412119072 has 36 divisors (see below), whose sum is σ = 1171964430. Its totient is φ = 137372928.

The previous prime is 412119041. The next prime is 412119079. The reversal of 412119072 is 270911214.

It can be written as a sum of positive squares in only one way, i.e., 299843856 + 112275216 = 17316^2 + 10596^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×412119072² = 339684259012282368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (412119079) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 715197 + ... + 715772.

Almost surely, 2^412119072 is an apocalyptic number.

It is an amenable number.

412119072 is an abundant number, since it is smaller than the sum of its proper divisors (759845358).

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

412119072 is a wasteful number, since it uses less digits than its factorization.

412119072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430985 (or 1430974 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 412119072 is about 20300.7160464847. The cubic root of 412119072 is about 744.1735633921.

The spelling of 412119072 in words is "four hundred twelve million, one hundred nineteen thousand, seventy-two".