1027404480 has 448 divisors, whose sum is σ = 3745382400. Its totient is φ = 237219840.

The previous prime is 1027404463. The next prime is 1027404487. The reversal of 1027404480 is 844047201.

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 (1027404487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13005081 + ... + 13005159.

Almost surely, 2^1027404480 is an apocalyptic number.

1027404480 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 1027404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872691200).

1027404480 is an abundant number, since it is smaller than the sum of its proper divisors (2717977920).

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

1027404480 is a wasteful number, since it uses less digits than its factorization.

1027404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 1027404480 is about 32053.1508591589. The cubic root of 1027404480 is about 1009.0526292818.

The spelling of 1027404480 in words is "one billion, twenty-seven million, four hundred four thousand, four hundred eighty".