412073462304 has 432 divisors, whose sum is σ = 1393050597120. Its totient is φ = 115181015040.

The previous prime is 412073462263. The next prime is 412073462309. The reversal of 412073462304 is 403264370214.

412073462304 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 7 + 346 + 2 + 304 = 666.

It is a super-2 number, since 2×412073462304² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (412073462309) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125976189 + ... + 125979459.

It is an arithmetic number, because the mean of its divisors is an integer number (3224654160).

Almost surely, 2^412073462304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412073462304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696525298560).

412073462304 is an abundant number, since it is smaller than the sum of its proper divisors (980977134816).

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

412073462304 is a wasteful number, since it uses less digits than its factorization.

412073462304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 412073462304 in words is "four hundred twelve billion, seventy-three million, four hundred sixty-two thousand, three hundred four".