416291376 has 80 divisors (see below), whose sum is σ = 1145069568. Its totient is φ = 129868800.

The previous prime is 416291371. The next prime is 416291399. The reversal of 416291376 is 673192614.

It is not an unprimeable number, because it can be changed into a prime (416291371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154521 + ... + 157191.

Almost surely, 2^416291376 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 416291376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572534784).

416291376 is an abundant number, since it is smaller than the sum of its proper divisors (728778192).

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

416291376 is a wasteful number, since it uses less digits than its factorization.

416291376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2884 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 416291376 is about 20403.2197459127. The cubic root of 416291376 is about 746.6764798172.

The spelling of 416291376 in words is "four hundred sixteen million, two hundred ninety-one thousand, three hundred seventy-six".