1007480448 has 96 divisors (see below), whose sum is σ = 3122186340. Its totient is φ = 309989376.

The previous prime is 1007480447. The next prime is 1007480473. The reversal of 1007480448 is 8440847001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 847508544 + 159971904 = 29112^2 + 12648^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1007480447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18661 + ... + 48612.

Almost surely, 2^1007480448 is an apocalyptic number.

1007480448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1007480448 is an abundant number, since it is smaller than the sum of its proper divisors (2114705892).

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

1007480448 is a wasteful number, since it uses less digits than its factorization.

1007480448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67306 (or 67291 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 1007480448 is about 31740.8325032599. The cubic root of 1007480448 is about 1002.4872909212.

The spelling of 1007480448 in words is "one billion, seven million, four hundred eighty thousand, four hundred forty-eight".