492245994240 has 4032 divisors, whose sum is σ = 2594263375872. Its totient is φ = 85996339200.

The previous prime is 492245994217. The next prime is 492245994281. The reversal of 492245994240 is 42499542294.

492245994240 is a `hidden beast` number, since 4 + 9 + 2 + 2 + 4 + 599 + 4 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×492245994240² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 15878903025 + ... + 15878903055.

It is an arithmetic number, because the mean of its divisors is an integer number (643418496).

Almost surely, 2^492245994240 is an apocalyptic number.

492245994240 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 492245994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297131687936).

492245994240 is an abundant number, since it is smaller than the sum of its proper divisors (2102017381632).

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

492245994240 is a wasteful number, since it uses less digits than its factorization.

492245994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 492245994240 in words is "four hundred ninety-two billion, two hundred forty-five million, nine hundred ninety-four thousand, two hundred forty".