407696640 has 144 divisors (see below), whose sum is σ = 1402412928. Its totient is φ = 100343808.

The previous prime is 407696621. The next prime is 407696657. The reversal of 407696640 is 46696704.

It is a junction number, because it is equal to n+sod(n) for n = 407696592 and 407696601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45837 + ... + 54003.

Almost surely, 2^407696640 is an apocalyptic number.

407696640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701206464).

407696640 is an abundant number, since it is smaller than the sum of its proper divisors (994716288).

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

407696640 is a wasteful number, since it uses less digits than its factorization.

407696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8204 (or 8190 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 407696640 is about 20191.4992013966. The cubic root of 407696640 is about 741.5020865018.

The spelling of 407696640 in words is "four hundred seven million, six hundred ninety-six thousand, six hundred forty".