407682016 has 24 divisors (see below), whose sum is σ = 917285040. Its totient is φ = 174720768.

The previous prime is 407682013. The next prime is 407682113. The reversal of 407682016 is 610286704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407682013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 909781 + ... + 910228.

It is an arithmetic number, because the mean of its divisors is an integer number (38220210).

Almost surely, 2^407682016 is an apocalyptic number.

It is an amenable number.

407682016 is an abundant number, since it is smaller than the sum of its proper divisors (509603024).

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

407682016 is a wasteful number, since it uses less digits than its factorization.

407682016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820026 (or 1820018 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 407682016 is about 20191.1370655543. The cubic root of 407682016 is about 741.4932205501.

The spelling of 407682016 in words is "four hundred seven million, six hundred eighty-two thousand, sixteen".