412514520 has 256 divisors, whose sum is σ = 1478062080. Its totient is φ = 90931200.

The previous prime is 412514497. The next prime is 412514539. The reversal of 412514520 is 25415214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 695344 + ... + 695936.

It is an arithmetic number, because the mean of its divisors is an integer number (5773680).

Almost surely, 2^412514520 is an apocalyptic number.

412514520 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 412514520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739031040).

412514520 is an abundant number, since it is smaller than the sum of its proper divisors (1065547560).

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

412514520 is a wasteful number, since it uses less digits than its factorization.

412514520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 412514520 is about 20310.4534661341. The cubic root of 412514520 is about 744.4115107003.

Adding to 412514520 its reverse (25415214), we get a palindrome (437929734).

The spelling of 412514520 in words is "four hundred twelve million, five hundred fourteen thousand, five hundred twenty".