1220763460 has 72 divisors (see below), whose sum is σ = 2988085464. Its totient is φ = 417715200.

The previous prime is 1220763443. The next prime is 1220763461. The reversal of 1220763460 is 643670221.

It can be written as a sum of positive squares in 4 ways, for example, as 309689604 + 911073856 = 17598^2 + 30184^2 .

It is not an unprimeable number, because it can be changed into a prime (1220763461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 686092 + ... + 687868.

It is an arithmetic number, because the mean of its divisors is an integer number (41501187).

Almost surely, 2^1220763460 is an apocalyptic number.

1220763460 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 1220763460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494042732).

1220763460 is an abundant number, since it is smaller than the sum of its proper divisors (1767322004).

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

1220763460 is a wasteful number, since it uses less digits than its factorization.

1220763460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 1220763460 is about 34939.4255819983. The cubic root of 1220763460 is about 1068.7525743016.

The spelling of 1220763460 in words is "one billion, two hundred twenty million, seven hundred sixty-three thousand, four hundred sixty".