407883840 has 672 divisors, whose sum is σ = 1751258880. Its totient is φ = 79478784.

The previous prime is 407883823. The next prime is 407883841. The reversal of 407883840 is 48388704.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 407883792 and 407883801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407883841) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 14064946 + ... + 14064974.

It is an arithmetic number, because the mean of its divisors is an integer number (2606040).

Almost surely, 2^407883840 is an apocalyptic number.

407883840 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 407883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875629440).

407883840 is an abundant number, since it is smaller than the sum of its proper divisors (1343375040).

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

407883840 is a wasteful number, since it uses less digits than its factorization.

407883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 407883840 is about 20196.1342835702. The cubic root of 407883840 is about 741.6155597210.

The spelling of 407883840 in words is "four hundred seven million, eight hundred eighty-three thousand, eight hundred forty".