407648682 has 48 divisors (see below), whose sum is σ = 1017162432. Its totient is φ = 115577280.

The previous prime is 407648671. The next prime is 407648687. The reversal of 407648682 is 286846704.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (407648687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4158 + ... + 28854.

It is an arithmetic number, because the mean of its divisors is an integer number (21190884).

Almost surely, 2^407648682 is an apocalyptic number.

407648682 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 407648682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508581216).

407648682 is an abundant number, since it is smaller than the sum of its proper divisors (609513750).

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

407648682 is a wasteful number, since it uses less digits than its factorization.

407648682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24843 (or 24840 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 407648682 is about 20190.3115874917. The cubic root of 407648682 is about 741.4730106743.

The spelling of 407648682 in words is "four hundred seven million, six hundred forty-eight thousand, six hundred eighty-two".