1020225440 has 48 divisors (see below), whose sum is σ = 2595694248. Its totient is φ = 376697856.

The previous prime is 1020225431. The next prime is 1020225449. The reversal of 1020225440 is 445220201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1020225431) and next prime (1020225449).

It can be written as a sum of positive squares in 4 ways, for example, as 451307536 + 568917904 = 21244^2 + 23852^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1020225449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243167 + ... + 247326.

Almost surely, 2^1020225440 is an apocalyptic number.

1020225440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020225440 is an abundant number, since it is smaller than the sum of its proper divisors (1575468808).

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

1020225440 is a wasteful number, since it uses less digits than its factorization.

1020225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490521 (or 490513 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 1020225440 is about 31940.9680504521. The cubic root of 1020225440 is about 1006.6968652159.

Adding to 1020225440 its reverse (445220201), we get a palindrome (1465445641).

The spelling of 1020225440 in words is "one billion, twenty million, two hundred twenty-five thousand, four hundred forty".