490379443200 has 792 divisors, whose sum is σ = 1928342484432. Its totient is φ = 123049082880.

The previous prime is 490379443153. The next prime is 490379443207. The reversal of 490379443200 is 2344973094.

490379443200 is a `hidden beast` number, since 490 + 37 + 94 + 43 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490379443207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105751282 + ... + 105755918.

Almost surely, 2^490379443200 is an apocalyptic number.

490379443200 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 490379443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964171242216).

490379443200 is an abundant number, since it is smaller than the sum of its proper divisors (1437963041232).

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

490379443200 is a wasteful number, since it uses less digits than its factorization.

490379443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4699 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 490379443200 in words is "four hundred ninety billion, three hundred seventy-nine million, four hundred forty-three thousand, two hundred".