416531016 has 48 divisors (see below), whose sum is σ = 1230662160. Its totient is φ = 126221280.

The previous prime is 416531009. The next prime is 416531023. The reversal of 416531016 is 610135614.

416531016 is a `hidden beast` number, since 4 + 1 + 653 + 1 + 0 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (416531009) and next prime (416531023).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262170 + ... + 263753.

It is an arithmetic number, because the mean of its divisors is an integer number (25638795).

Almost surely, 2^416531016 is an apocalyptic number.

It is an amenable number.

416531016 is an abundant number, since it is smaller than the sum of its proper divisors (814131144).

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

416531016 is a wasteful number, since it uses less digits than its factorization.

416531016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525946 (or 525939 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 416531016 is about 20409.0915035432. The cubic root of 416531016 is about 746.8197282230.

The spelling of 416531016 in words is "four hundred sixteen million, five hundred thirty-one thousand, sixteen".