416447376 has 80 divisors (see below), whose sum is σ = 1104036480. Its totient is φ = 135224320.

The previous prime is 416447363. The next prime is 416447393. The reversal of 416447376 is 673744614.

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, 302626 + ... + 303998.

It is an arithmetic number, because the mean of its divisors is an integer number (13800456).

Almost surely, 2^416447376 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 416447376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552018240).

416447376 is an abundant number, since it is smaller than the sum of its proper divisors (687589104).

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

416447376 is a wasteful number, since it uses less digits than its factorization.

416447376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1538 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 416447376 is about 20407.0423138680. The cubic root of 416447376 is about 746.7697374012.

The spelling of 416447376 in words is "four hundred sixteen million, four hundred forty-seven thousand, three hundred seventy-six".