1024900 has 36 divisors (see below), whose sum is σ = 2292388. Its totient is φ = 397440.

The previous prime is 1024883. The next prime is 1024901. The reversal of 1024900 is 94201.

1024900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8836 + 1016064 = 94^2 + 1008^2 .

It is not an unprimeable number, because it can be changed into a prime (1024901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3562 + ... + 3838.

2^1024900 is an apocalyptic number.

1024900 is a gapful number since it is divisible by the number (10) 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 1024900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146194).

1024900 is an abundant number, since it is smaller than the sum of its proper divisors (1267488).

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

1024900 is a wasteful number, since it uses less digits than its factorization.

1024900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1024900 is about 1012.3734488814. The cubic root of 1024900 is about 100.8232047442.

It can be divided in two parts, 1024 and 900, that multiplied together give a square (921600 = 960²).

The spelling of 1024900 in words is "one million, twenty-four thousand, nine hundred".