1020414400 has 84 divisors (see below), whose sum is σ = 2534325640. Its totient is φ = 404352000.

The previous prime is 1020414397. The next prime is 1020414401. The reversal of 1020414400 is 44140201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020414401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171475 + ... + 177325.

Almost surely, 2^1020414400 is an apocalyptic number.

1020414400 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 1020414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267162820).

1020414400 is an abundant number, since it is smaller than the sum of its proper divisors (1513911240).

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

1020414400 is a wasteful number, since it uses less digits than its factorization.

1020414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5982 (or 5967 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1020414400 is about 31943.9258701870. The cubic root of 1020414400 is about 1006.7590128189.

Adding to 1020414400 its reverse (44140201), we get a palindrome (1064554601).

The spelling of 1020414400 in words is "one billion, twenty million, four hundred fourteen thousand, four hundred".