491312400 has 120 divisors (see below), whose sum is σ = 1579422720. Its totient is φ = 130552320.

The previous prime is 491312387. The next prime is 491312417. The reversal of 491312400 is 4213194.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459066 + ... + 460134.

It is an arithmetic number, because the mean of its divisors is an integer number (13161856).

Almost surely, 2^491312400 is an apocalyptic number.

491312400 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 491312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789711360).

491312400 is an abundant number, since it is smaller than the sum of its proper divisors (1088110320).

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

491312400 is a wasteful number, since it uses less digits than its factorization.

491312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 491312400 is about 22165.5678925671. The cubic root of 491312400 is about 789.0767401475.

Adding to 491312400 its reverse (4213194), we get a palindrome (495525594).

The spelling of 491312400 in words is "four hundred ninety-one million, three hundred twelve thousand, four hundred".