1027457220 has 96 divisors (see below), whose sum is σ = 3053635200. Its totient is φ = 257234944.

The previous prime is 1027457213. The next prime is 1027457227. The reversal of 1027457220 is 227547201.

1027457220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1027457213) and next prime (1027457227).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1027457227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518191 + ... + 520169.

It is an arithmetic number, because the mean of its divisors is an integer number (31808700).

Almost surely, 2^1027457220 is an apocalyptic number.

1027457220 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 1027457220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526817600).

1027457220 is an abundant number, since it is smaller than the sum of its proper divisors (2026177980).

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

1027457220 is a wasteful number, since it uses less digits than its factorization.

1027457220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 1027457220 is about 32053.9735446325. The cubic root of 1027457220 is about 1009.0698949664.

The spelling of 1027457220 in words is "one billion, twenty-seven million, four hundred fifty-seven thousand, two hundred twenty".