407112324 has 48 divisors (see below), whose sum is σ = 984688320. Its totient is φ = 130757760.

The previous prime is 407112323. The next prime is 407112371. The reversal of 407112324 is 423211704.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 407112294 and 407112303.

It is not an unprimeable number, because it can be changed into a prime (407112323) 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, 239622 + ... + 241314.

It is an arithmetic number, because the mean of its divisors is an integer number (20514340).

Almost surely, 2^407112324 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 407112324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492344160).

407112324 is an abundant number, since it is smaller than the sum of its proper divisors (577575996).

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

407112324 is a wasteful number, since it uses less digits than its factorization.

407112324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 407112324 is about 20177.0246567724. The cubic root of 407112324 is about 741.1476737304.

The spelling of 407112324 in words is "four hundred seven million, one hundred twelve thousand, three hundred twenty-four".