1020427200 has 672 divisors, whose sum is σ = 4233062400. Its totient is φ = 237219840.

The previous prime is 1020427189. The next prime is 1020427201. The reversal of 1020427200 is 27240201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020427201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12916761 + ... + 12916839.

It is an arithmetic number, because the mean of its divisors is an integer number (6299200).

Almost surely, 2^1020427200 is an apocalyptic number.

1020427200 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 1020427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116531200).

1020427200 is an abundant number, since it is smaller than the sum of its proper divisors (3212635200).

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

1020427200 is a wasteful number, since it uses less digits than its factorization.

1020427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1020427200 is about 31944.1262206372. The cubic root of 1020427200 is about 1006.7632223706.

Adding to 1020427200 its reverse (27240201), we get a palindrome (1047667401).

The spelling of 1020427200 in words is "one billion, twenty million, four hundred twenty-seven thousand, two hundred".