1012409280 has 280 divisors, whose sum is σ = 3640134960. Its totient is φ = 267079680.

The previous prime is 1012409221. The next prime is 1012409291. The reversal of 1012409280 is 829042101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3602740 + ... + 3603020.

It is an arithmetic number, because the mean of its divisors is an integer number (13000482).

Almost surely, 2^1012409280 is an apocalyptic number.

1012409280 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 1012409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820067480).

1012409280 is an abundant number, since it is smaller than the sum of its proper divisors (2627725680).

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

1012409280 is a wasteful number, since it uses less digits than its factorization.

1012409280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1012409280 is about 31818.3795941905. The cubic root of 1012409280 is about 1004.1194336313.

The spelling of 1012409280 in words is "one billion, twelve million, four hundred nine thousand, two hundred eighty".