1034007480 has 192 divisors, whose sum is σ = 3784734720. Its totient is φ = 242553600.

The previous prime is 1034007433. The next prime is 1034007503. The reversal of 1034007480 is 847004301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118549 + ... + 126971.

It is an arithmetic number, because the mean of its divisors is an integer number (19712160).

Almost surely, 2^1034007480 is an apocalyptic number.

1034007480 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 1034007480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892367360).

1034007480 is an abundant number, since it is smaller than the sum of its proper divisors (2750727240).

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

1034007480 is a wasteful number, since it uses less digits than its factorization.

1034007480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8482 (or 8475 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1034007480 is about 32155.9866898840. The cubic root of 1034007480 is about 1011.2096997706.

The spelling of 1034007480 in words is "one billion, thirty-four million, seven thousand, four hundred eighty".