490684723200 has 936 divisors, whose sum is σ = 2096566787328. Its totient is φ = 107247697920.

The previous prime is 490684723187. The next prime is 490684723237. The reversal of 490684723200 is 2327486094.

490684723200 is a `hidden beast` number, since 4 + 90 + 68 + 472 + 32 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 148375947 + ... + 148379253.

Almost surely, 2^490684723200 is an apocalyptic number.

490684723200 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 490684723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048283393664).

490684723200 is an abundant number, since it is smaller than the sum of its proper divisors (1605882064128).

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

490684723200 is a wasteful number, since it uses less digits than its factorization.

490684723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 490684723200 in words is "four hundred ninety billion, six hundred eighty-four million, seven hundred twenty-three thousand, two hundred".