412516104 has 288 divisors, whose sum is σ = 1426440960. Its totient is φ = 98461440.

The previous prime is 412516081. The next prime is 412516121. The reversal of 412516104 is 401615214.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1849737 + ... + 1849959.

It is an arithmetic number, because the mean of its divisors is an integer number (4952920).

Almost surely, 2^412516104 is an apocalyptic number.

412516104 is a gapful number since it is divisible by the number (44) 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 412516104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713220480).

412516104 is an abundant number, since it is smaller than the sum of its proper divisors (1013924856).

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

412516104 is a wasteful number, since it uses less digits than its factorization.

412516104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 412516104 is about 20310.4924607947. The cubic root of 412516104 is about 744.4124635123.

412516104 divided by its sum of digits (24) gives a palindrome (17188171).

The spelling of 412516104 in words is "four hundred twelve million, five hundred sixteen thousand, one hundred four".