412345024 has 112 divisors (see below), whose sum is σ = 1018495296. Its totient is φ = 161280000.

The previous prime is 412345007. The next prime is 412345033. The reversal of 412345024 is 420543214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 412345024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587874 + ... + 588574.

It is an arithmetic number, because the mean of its divisors is an integer number (9093708).

Almost surely, 2^412345024 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 412345024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509247648).

412345024 is an abundant number, since it is smaller than the sum of its proper divisors (606150272).

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

412345024 is a wasteful number, since it uses less digits than its factorization.

412345024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 412345024 is about 20306.2804077950. The cubic root of 412345024 is about 744.3095409091.

Adding to 412345024 its reverse (420543214), we get a palindrome (832888238).

The spelling of 412345024 in words is "four hundred twelve million, three hundred forty-five thousand, twenty-four".