406887840 has 192 divisors, whose sum is σ = 1440270720. Its totient is φ = 107274240.

The previous prime is 406887839. The next prime is 406887857. The reversal of 406887840 is 48788604.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418555 + ... + 419525.

It is an arithmetic number, because the mean of its divisors is an integer number (7501410).

Almost surely, 2^406887840 is an apocalyptic number.

406887840 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 406887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720135360).

406887840 is an abundant number, since it is smaller than the sum of its proper divisors (1033382880).

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

406887840 is a wasteful number, since it uses less digits than its factorization.

406887840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 406887840 is about 20171.4610278978. The cubic root of 406887840 is about 741.0114243678.

The spelling of 406887840 in words is "four hundred six million, eight hundred eighty-seven thousand, eight hundred forty".