1020342400 has 384 divisors, whose sum is σ = 3251041920. Its totient is φ = 307200000.

The previous prime is 1020342373. The next prime is 1020342403. The reversal of 1020342400 is 42430201.

It is a super-2 number, since 2×1020342400² = 2082197226475520000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1020342403) 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 47 ways as a sum of consecutive naturals, for example, 10102350 + ... + 10102450.

It is an arithmetic number, because the mean of its divisors is an integer number (8466255).

Almost surely, 2^1020342400 is an apocalyptic number.

1020342400 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 1020342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625520960).

1020342400 is an abundant number, since it is smaller than the sum of its proper divisors (2230699520).

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

1020342400 is a wasteful number, since it uses less digits than its factorization.

1020342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1020342400 is about 31942.7988754899. The cubic root of 1020342400 is about 1006.7353334347.

Adding to 1020342400 its reverse (42430201), we get a palindrome (1062772601).

The spelling of 1020342400 in words is "one billion, twenty million, three hundred forty-two thousand, four hundred".