412245001350 has 288 divisors, whose sum is σ = 1407133937664. Its totient is φ = 84173126400.

The previous prime is 412245001331. The next prime is 412245001373. The reversal of 412245001350 is 53100542214.

412245001350 is a `hidden beast` number, since 4 + 1 + 2 + 24 + 500 + 135 + 0 = 666.

It is a super-2 number, since 2×412245001350² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1107079 + ... + 1431821.

It is an arithmetic number, because the mean of its divisors is an integer number (4885881728).

Almost surely, 2^412245001350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412245001350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703566968832).

412245001350 is an abundant number, since it is smaller than the sum of its proper divisors (994888936314).

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

412245001350 is a wasteful number, since it uses less digits than its factorization.

412245001350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324812 (or 324804 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 412245001350 its reverse (53100542214), we get a palindrome (465345543564).

The spelling of 412245001350 in words is "four hundred twelve billion, two hundred forty-five million, one thousand, three hundred fifty".