412547072 has 72 divisors (see below), whose sum is σ = 959802480. Its totient is φ = 176762880.

The previous prime is 412547053. The next prime is 412547081. The reversal of 412547072 is 270745214.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 98297 + ... + 102407.

It is an arithmetic number, because the mean of its divisors is an integer number (13330590).

Almost surely, 2^412547072 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 412547072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479901240).

412547072 is an abundant number, since it is smaller than the sum of its proper divisors (547255408).

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

412547072 is an equidigital number, since it uses as much as digits as its factorization.

412547072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 32.

The square root of 412547072 is about 20311.2548110647. The cubic root of 412547072 is about 744.4310909777.

The spelling of 412547072 in words is "four hundred twelve million, five hundred forty-seven thousand, seventy-two".