412388160 has 224 divisors, whose sum is σ = 1439631360. Its totient is φ = 99551232.

The previous prime is 412388147. The next prime is 412388161. The reversal of 412388160 is 61883214.

It is a super-3 number, since 3×412388160³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412388161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419029 + ... + 420011.

Almost surely, 2^412388160 is an apocalyptic number.

412388160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719815680).

412388160 is an abundant number, since it is smaller than the sum of its proper divisors (1027243200).

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

412388160 is a wasteful number, since it uses less digits than its factorization.

412388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 412388160 is about 20307.3425144700. The cubic root of 412388160 is about 744.3354944310.

The spelling of 412388160 in words is "four hundred twelve million, three hundred eighty-eight thousand, one hundred sixty".