496187070400 has 336 divisors, whose sum is σ = 1410800328000. Its totient is φ = 168248770560.

The previous prime is 496187070397. The next prime is 496187070433. The reversal of 496187070400 is 4070781694.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473009076 + ... + 473010124.

It is an arithmetic number, because the mean of its divisors is an integer number (4198810500).

Almost surely, 2^496187070400 is an apocalyptic number.

496187070400 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 496187070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705400164000).

496187070400 is an abundant number, since it is smaller than the sum of its proper divisors (914613257600).

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

496187070400 is a wasteful number, since it uses less digits than its factorization.

496187070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 496187070400 in words is "four hundred ninety-six billion, one hundred eighty-seven million, seventy thousand, four hundred".