412617920 has 224 divisors, whose sum is σ = 1179795456. Its totient is φ = 135475200.

The previous prime is 412617913. The next prime is 412617929. The reversal of 412617920 is 29716214.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (412617929) 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, 3248897 + ... + 3249023.

It is an arithmetic number, because the mean of its divisors is an integer number (5266944).

Almost surely, 2^412617920 is an apocalyptic number.

412617920 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 412617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589897728).

412617920 is an abundant number, since it is smaller than the sum of its proper divisors (767177536).

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

412617920 is a wasteful number, since it uses less digits than its factorization.

412617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 412617920 is about 20312.9987938758. The cubic root of 412617920 is about 744.4737030323.

The spelling of 412617920 in words is "four hundred twelve million, six hundred seventeen thousand, nine hundred twenty".