1013450240 has 320 divisors, whose sum is σ = 2943293760. Its totient is φ = 330301440.

The previous prime is 1013450203. The next prime is 1013450267. The reversal of 1013450240 is 420543101.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13882844 + ... + 13882916.

It is an arithmetic number, because the mean of its divisors is an integer number (9197793).

Almost surely, 2^1013450240 is an apocalyptic number.

1013450240 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 1013450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471646880).

1013450240 is an abundant number, since it is smaller than the sum of its proper divisors (1929843520).

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

1013450240 is a wasteful number, since it uses less digits than its factorization.

1013450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1013450240 is about 31834.7332327444. The cubic root of 1013450240 is about 1004.4634612063.

Adding to 1013450240 its reverse (420543101), we get a palindrome (1433993341).

The spelling of 1013450240 in words is "one billion, thirteen million, four hundred fifty thousand, two hundred forty".