408970842 has 64 divisors (see below), whose sum is σ = 971170560. Its totient is φ = 112375296.

The previous prime is 408970841. The next prime is 408970897. The reversal of 408970842 is 248079804.

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 = 408970794 and 408970803.

It is not an unprimeable number, because it can be changed into a prime (408970841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136828 + ... + 139784.

It is an arithmetic number, because the mean of its divisors is an integer number (15174540).

Almost surely, 2^408970842 is an apocalyptic number.

408970842 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 408970842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485585280).

408970842 is an abundant number, since it is smaller than the sum of its proper divisors (562199718).

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

408970842 is a wasteful number, since it uses less digits than its factorization.

408970842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095.

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 408970842 is about 20223.0275181537. The cubic root of 408970842 is about 742.2737720702.

The spelling of 408970842 in words is "four hundred eight million, nine hundred seventy thousand, eight hundred forty-two".