1020400 has 30 divisors (see below), whose sum is σ = 2452472. Its totient is φ = 408000.

The previous prime is 1020389. The next prime is 1020401. The reversal of 1020400 is 40201.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 876 + ... + 1675.

2^1020400 is an apocalyptic number.

1020400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020400 is an abundant number, since it is smaller than the sum of its proper divisors (1432072).

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

1020400 is a wasteful number, since it uses less digits than its factorization.

1020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 1020400 is about 1010.1485039340. The cubic root of 1020400 is about 100.6754277031.

Adding to 1020400 its reverse (40201), we get a palindrome (1060601).

The spelling of 1020400 in words is "one million, twenty thousand, four hundred".