416493460 has 48 divisors (see below), whose sum is σ = 903150864. Its totient is φ = 161215488.

The previous prime is 416493379. The next prime is 416493481. The reversal of 416493460 is 64394614.

It can be written as a sum of positive squares in 8 ways, for example, as 120033936 + 296459524 = 10956^2 + 17218^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144352 + ... + 147208.

It is an arithmetic number, because the mean of its divisors is an integer number (18815643).

Almost surely, 2^416493460 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 416493460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451575432).

416493460 is an abundant number, since it is smaller than the sum of its proper divisors (486657404).

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

416493460 is a wasteful number, since it uses less digits than its factorization.

416493460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 416493460 is about 20408.1714026514. The cubic root of 416493460 is about 746.7972821917.

The spelling of 416493460 in words is "four hundred sixteen million, four hundred ninety-three thousand, four hundred sixty".