1020408 has 64 divisors (see below), whose sum is σ = 2812320. Its totient is φ = 307200.

The previous prime is 1020407. The next prime is 1020413. The reversal of 1020408 is 8040201.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16698 + ... + 16758.

2^1020408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406160).

1020408 is an abundant number, since it is smaller than the sum of its proper divisors (1791912).

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

1020408 is a wasteful number, since it uses less digits than its factorization.

1020408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1020408 is about 1010.1524637400. The cubic root of 1020408 is about 100.6756908030.

Adding to 1020408 its reverse (8040201), we get a palindrome (9060609).

The spelling of 1020408 in words is "one million, twenty thousand, four hundred eight".