412089972 has 48 divisors (see below), whose sum is σ = 1106958720. Its totient is φ = 116877312.

The previous prime is 412089967. The next prime is 412089973. The reversal of 412089972 is 279980214.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412089973) 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, 6397 + ... + 29412.

It is an arithmetic number, because the mean of its divisors is an integer number (23061640).

Almost surely, 2^412089972 is an apocalyptic number.

412089972 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

412089972 is an abundant number, since it is smaller than the sum of its proper divisors (694868748).

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

412089972 is a wasteful number, since it uses less digits than its factorization.

412089972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35960 (or 35958 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 412089972 is about 20299.9993103448. Note that the first 3 decimals coincide. The cubic root of 412089972 is about 744.1560474508.

The spelling of 412089972 in words is "four hundred twelve million, eighty-nine thousand, nine hundred seventy-two".