491040000 has 540 divisors, whose sum is σ = 1992262272. Its totient is φ = 115200000.

The previous prime is 491039999. The next prime is 491040001. The reversal of 491040000 is 40194.

It is an interprime number because it is at equal distance from previous prime (491039999) and next prime (491040001).

It is a super-2 number, since 2×491040000² = 482240563200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15839985 + ... + 15840015.

Almost surely, 2^491040000 is an apocalyptic number.

491040000 is a gapful number since it is divisible by the number (40) 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 491040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996131136).

491040000 is an abundant number, since it is smaller than the sum of its proper divisors (1501222272).

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

491040000 is a wasteful number, since it uses less digits than its factorization.

491040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 491040000 is about 22159.4223751433. The cubic root of 491040000 is about 788.9308830239.

Adding to 491040000 its reverse (40194), we get a palindrome (491080194).

The spelling of 491040000 in words is "four hundred ninety-one million, forty thousand".