412508460 has 288 divisors, whose sum is σ = 1486501632. Its totient is φ = 84672000.

The previous prime is 412508443. The next prime is 412508513. The reversal of 412508460 is 64805214.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1643335 + ... + 1643585.

It is an arithmetic number, because the mean of its divisors is an integer number (5161464).

Almost surely, 2^412508460 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 412508460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743250816).

412508460 is an abundant number, since it is smaller than the sum of its proper divisors (1073993172).

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

412508460 is a wasteful number, since it uses less digits than its factorization.

412508460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 412508460 is about 20310.3042813248. The cubic root of 412508460 is about 744.4078654502.

The spelling of 412508460 in words is "four hundred twelve million, five hundred eight thousand, four hundred sixty".