412211520 has 504 divisors, whose sum is σ = 1734580224. Its totient is φ = 89413632.

The previous prime is 412211519. The next prime is 412211533. The reversal of 412211520 is 25112214.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 412211493 and 412211502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3245697 + ... + 3245823.

Almost surely, 2^412211520 is an apocalyptic number.

412211520 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 412211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867290112).

412211520 is an abundant number, since it is smaller than the sum of its proper divisors (1322368704).

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

412211520 is a wasteful number, since it uses less digits than its factorization.

412211520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 412211520 is about 20302.9928828240. The cubic root of 412211520 is about 744.2292044423.

Adding to 412211520 its reverse (25112214), we get a palindrome (437323734).

The spelling of 412211520 in words is "four hundred twelve million, two hundred eleven thousand, five hundred twenty".