497478643200 has 1440 divisors, whose sum is σ = 2350922745600. Its totient is φ = 97261977600.

The previous prime is 497478643199. The next prime is 497478643223. The reversal of 497478643200 is 2346874794.

497478643200 is a `hidden beast` number, since 4 + 97 + 47 + 86 + 432 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×497478643200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 150795151 + ... + 150798449.

It is an arithmetic number, because the mean of its divisors is an integer number (1632585240).

Almost surely, 2^497478643200 is an apocalyptic number.

497478643200 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 497478643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175461372800).

497478643200 is an abundant number, since it is smaller than the sum of its proper divisors (1853444102400).

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

497478643200 is a wasteful number, since it uses less digits than its factorization.

497478643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 497478643200 in words is "four hundred ninety-seven billion, four hundred seventy-eight million, six hundred forty-three thousand, two hundred".