491558400 has 360 divisors, whose sum is σ = 1870052184. Its totient is φ = 122880000.

The previous prime is 491558399. The next prime is 491558407. The reversal of 491558400 is 4855194.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×491558400² = 483259321221120000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491558407) 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 35 ways as a sum of consecutive naturals, for example, 1958275 + ... + 1958525.

Almost surely, 2^491558400 is an apocalyptic number.

491558400 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 491558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935026092).

491558400 is an abundant number, since it is smaller than the sum of its proper divisors (1378493784).

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

491558400 is a wasteful number, since it uses less digits than its factorization.

491558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 491558400 is about 22171.1163453715. The cubic root of 491558400 is about 789.2084150179.

The spelling of 491558400 in words is "four hundred ninety-one million, five hundred fifty-eight thousand, four hundred".