492227049600 has 1152 divisors, whose sum is σ = 2084587202880. Its totient is φ = 109021593600.

The previous prime is 492227049583. The next prime is 492227049641. The reversal of 492227049600 is 6940722294.

It is a happy number.

492227049600 is a `hidden beast` number, since 4 + 92 + 2 + 2 + 70 + 496 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 440668242 + ... + 440669358.

Almost surely, 2^492227049600 is an apocalyptic number.

492227049600 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 492227049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042293601440).

492227049600 is an abundant number, since it is smaller than the sum of its proper divisors (1592360153280).

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

492227049600 is a wasteful number, since it uses less digits than its factorization.

492227049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 492227049600 in words is "four hundred ninety-two billion, two hundred twenty-seven million, forty-nine thousand, six hundred".