491049360 has 120 divisors (see below), whose sum is σ = 1664502840. Its totient is φ = 129724416.

The previous prime is 491049359. The next prime is 491049367. The reversal of 491049360 is 63940194.

It can be written as a sum of positive squares in 4 ways, for example, as 235561104 + 255488256 = 15348^2 + 15984^2 .

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

It is a super-2 number, since 2×491049360² = 482258947912819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (491049367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75352 + ... + 81608.

It is an arithmetic number, because the mean of its divisors is an integer number (13870857).

Almost surely, 2^491049360 is an apocalyptic number.

491049360 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 491049360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832251420).

491049360 is an abundant number, since it is smaller than the sum of its proper divisors (1173453480).

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

491049360 is a wasteful number, since it uses less digits than its factorization.

491049360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6385 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 491049360 is about 22159.6335709777. The cubic root of 491049360 is about 788.9358957494.

The spelling of 491049360 in words is "four hundred ninety-one million, forty-nine thousand, three hundred sixty".