494106624 has 144 divisors (see below), whose sum is σ = 1557443160. Its totient is φ = 149667840.

The previous prime is 494106619. The next prime is 494106637. The reversal of 494106624 is 426601494.

494106624 is a `hidden beast` number, since 494 + 106 + 62 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 201534 + ... + 203970.

Almost surely, 2^494106624 is an apocalyptic number.

494106624 is a gapful number since it is divisible by the number (44) 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 494106624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778721580).

494106624 is an abundant number, since it is smaller than the sum of its proper divisors (1063336536).

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

494106624 is a wasteful number, since it uses less digits than its factorization.

494106624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 494106624 is about 22228.5092617566. The cubic root of 494106624 is about 790.5698094945.

The spelling of 494106624 in words is "four hundred ninety-four million, one hundred six thousand, six hundred twenty-four".