496983969797400 has 672 divisors, whose sum is σ = 1771647585221520. Its totient is φ = 129556340352000.

The previous prime is 496983969797377. The next prime is 496983969797443. The reversal of 496983969797400 is 4797969389694.

It is a happy number.

496983969797400 is a `hidden beast` number, since 4 + 9 + 6 + 9 + 8 + 396 + 97 + 97 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1449517990 + ... + 1449860810.

Almost surely, 2^{496983969797400} is an apocalyptic number.

496983969797400 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 496983969797400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885823792610760).

496983969797400 is an abundant number, since it is smaller than the sum of its proper divisors (1274663615424120).

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

496983969797400 is a wasteful number, since it uses less digits than its factorization.

496983969797400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343079 (or 343055 counting only the distinct ones).

The product of its (nonzero) digits is 39998375424, while the sum is 90.

The spelling of 496983969797400 in words is "four hundred ninety-six trillion, nine hundred eighty-three billion, nine hundred sixty-nine million, seven hundred ninety-seven thousand, four hundred".