416258460 has 192 divisors, whose sum is σ = 1411200000. Its totient is φ = 101461248.

The previous prime is 416258459. The next prime is 416258477. The reversal of 416258460 is 64852614.

416258460 is a `hidden beast` number, since 4 + 16 + 2 + 584 + 60 = 666.

It is a super-2 number, since 2×416258460² = 346542211043143200, which contains 22 as substring.

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

It is a zygodrome in base 2.

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, 296841 + ... + 298239.

It is an arithmetic number, because the mean of its divisors is an integer number (7350000).

Almost surely, 2^416258460 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 416258460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705600000).

416258460 is an abundant number, since it is smaller than the sum of its proper divisors (994941540).

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

416258460 is a wasteful number, since it uses less digits than its factorization.

416258460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 416258460 is about 20402.4130925731. The cubic root of 416258460 is about 746.6567994905.

The spelling of 416258460 in words is "four hundred sixteen million, two hundred fifty-eight thousand, four hundred sixty".