492200545075200 has 3240 divisors, whose sum is σ = 2050187006977200. Its totient is φ = 116863291883520.

The previous prime is 492200545075199. The next prime is 492200545075201. The reversal of 492200545075200 is 2570545002294.

492200545075200 is a `hidden beast` number, since 4 + 9 + 2 + 20 + 0 + 54 + 50 + 7 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (492200545075199) and next prime (492200545075201).

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-2 number, since 2×492200545075200² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492200545075201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 487810252296 + ... + 487810253304.

Almost surely, 2^{492200545075200} is an apocalyptic number.

492200545075200 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 492200545075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025093503488600).

492200545075200 is an abundant number, since it is smaller than the sum of its proper divisors (1557986461902000).

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

492200545075200 is a wasteful number, since it uses less digits than its factorization.

492200545075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 492200545075200 in words is "four hundred ninety-two trillion, two hundred billion, five hundred forty-five million, seventy-five thousand, two hundred".