492657253920 has 720 divisors, whose sum is σ = 1926853391232. Its totient is φ = 118426613760.

The previous prime is 492657253919. The next prime is 492657253943. The reversal of 492657253920 is 29352756294.

492657253920 is a `hidden beast` number, since 49 + 2 + 6 + 572 + 5 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×492657253920² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 94177705 + ... + 94182935.

Almost surely, 2^492657253920 is an apocalyptic number.

492657253920 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 492657253920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963426695616).

492657253920 is an abundant number, since it is smaller than the sum of its proper divisors (1434196137312).

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

492657253920 is a wasteful number, since it uses less digits than its factorization.

492657253920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 492657253920 in words is "four hundred ninety-two billion, six hundred fifty-seven million, two hundred fifty-three thousand, nine hundred twenty".