1004970240 has 288 divisors, whose sum is σ = 3620332800. Its totient is φ = 267245568.

The previous prime is 1004970233. The next prime is 1004970247. The reversal of 1004970240 is 420794001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1004970233) and next prime (1004970247).

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1004970247) 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 31 ways as a sum of consecutive naturals, for example, 2799181 + ... + 2799539.

It is an arithmetic number, because the mean of its divisors is an integer number (12570600).

Almost surely, 2^1004970240 is an apocalyptic number.

1004970240 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 1004970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810166400).

1004970240 is an abundant number, since it is smaller than the sum of its proper divisors (2615362560).

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

1004970240 is an frugal number, since it uses more digits than its factorization.

1004970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1004970240 is about 31701.2655898783. The cubic root of 1004970240 is about 1001.6540094112.

The spelling of 1004970240 in words is "one billion, four million, nine hundred seventy thousand, two hundred forty".