1013474304 has 132 divisors (see below), whose sum is σ = 2944347484. Its totient is φ = 335757312.

The previous prime is 1013474303. The next prime is 1013474327. The reversal of 1013474304 is 4034743101.

1013474304 is a `hidden beast` number, since 10 + 1 + 347 + 4 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 414203904 + 599270400 = 20352^2 + 24480^2 .

It is not an unprimeable number, because it can be changed into a prime (1013474303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2552634 + ... + 2553030.

Almost surely, 2^1013474304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013474304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472173742).

1013474304 is an abundant number, since it is smaller than the sum of its proper divisors (1930873180).

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

1013474304 is a wasteful number, since it uses less digits than its factorization.

1013474304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1013474304 is about 31835.1111824664. Note that the first 4 decimals coincide. The cubic root of 1013474304 is about 1004.4714113475.

The spelling of 1013474304 in words is "one billion, thirteen million, four hundred seventy-four thousand, three hundred four".