494685079200 has 1440 divisors, whose sum is σ = 2113129751040. Its totient is φ = 111526502400.

The previous prime is 494685079199. The next prime is 494685079241. The reversal of 494685079200 is 2970586494.

494685079200 is a `hidden beast` number, since 4 + 9 + 46 + 8 + 507 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×494685079200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 496173102 + ... + 496174098.

It is an arithmetic number, because the mean of its divisors is an integer number (1467451216).

Almost surely, 2^494685079200 is an apocalyptic number.

494685079200 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 494685079200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056564875520).

494685079200 is an abundant number, since it is smaller than the sum of its proper divisors (1618444671840).

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

494685079200 is a wasteful number, since it uses less digits than its factorization.

494685079200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 494685079200 in words is "four hundred ninety-four billion, six hundred eighty-five million, seventy-nine thousand, two hundred".