407883640 has 64 divisors (see below), whose sum is σ = 979776000. Its totient is φ = 152369280.

The previous prime is 407883607. The next prime is 407883643. The reversal of 407883640 is 46388704.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 407883593 and 407883602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407883643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50181 + ... + 57739.

It is an arithmetic number, because the mean of its divisors is an integer number (15309000).

Almost surely, 2^407883640 is an apocalyptic number.

407883640 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 407883640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489888000).

407883640 is an abundant number, since it is smaller than the sum of its proper divisors (571892360).

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

407883640 is a wasteful number, since it uses less digits than its factorization.

407883640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7660 (or 7656 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 407883640 is about 20196.1293321270. The cubic root of 407883640 is about 741.6154385074.

The spelling of 407883640 in words is "four hundred seven million, eight hundred eighty-three thousand, six hundred forty".