1034814480 has 320 divisors, whose sum is σ = 4088309760. Its totient is φ = 210788352.

The previous prime is 1034814419. The next prime is 1034814509. The reversal of 1034814480 is 844184301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 541687 + ... + 543593.

It is an arithmetic number, because the mean of its divisors is an integer number (12775968).

Almost surely, 2^1034814480 is an apocalyptic number.

1034814480 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 1034814480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044154880).

1034814480 is an abundant number, since it is smaller than the sum of its proper divisors (3053495280).

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

1034814480 is a wasteful number, since it uses less digits than its factorization.

1034814480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 1034814480 is about 32168.5324502067. The cubic root of 1034814480 is about 1011.4727004544.

Adding to 1034814480 its reverse (844184301), we get a palindrome (1878998781).

The spelling of 1034814480 in words is "one billion, thirty-four million, eight hundred fourteen thousand, four hundred eighty".