490035873600 has 1680 divisors, whose sum is σ = 2278865615488. Its totient is φ = 100508221440.

The previous prime is 490035873571. The next prime is 490035873617. The reversal of 490035873600 is 6378530094.

490035873600 is a `hidden beast` number, since 4 + 9 + 0 + 0 + 3 + 587 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 436362639 + ... + 436363761.

Almost surely, 2^490035873600 is an apocalyptic number.

490035873600 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 490035873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139432807744).

490035873600 is an abundant number, since it is smaller than the sum of its proper divisors (1788829741888).

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

490035873600 is a wasteful number, since it uses less digits than its factorization.

490035873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 490035873600 in words is "four hundred ninety billion, thirty-five million, eight hundred seventy-three thousand, six hundred".