412849920 has 144 divisors (see below), whose sum is σ = 1507000320. Its totient is φ = 94359552.

The previous prime is 412849919. The next prime is 412849937. The reversal of 412849920 is 29948214.

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, 19201 + ... + 34559.

It is an arithmetic number, because the mean of its divisors is an integer number (10465280).

Almost surely, 2^412849920 is an apocalyptic number.

412849920 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 412849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753500160).

412849920 is an abundant number, since it is smaller than the sum of its proper divisors (1094150400).

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

412849920 is a wasteful number, since it uses less digits than its factorization.

412849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15390 (or 15376 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 412849920 is about 20318.7086203823. The cubic root of 412849920 is about 744.6132070220.

The spelling of 412849920 in words is "four hundred twelve million, eight hundred forty-nine thousand, nine hundred twenty".