490041552 has 480 divisors, whose sum is σ = 1823883264. Its totient is φ = 111283200.

The previous prime is 490041547. The next prime is 490041571. The reversal of 490041552 is 255140094.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10426393 + ... + 10426439.

Almost surely, 2^490041552 is an apocalyptic number.

490041552 is a gapful number since it is divisible by the number (42) 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 490041552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911941632).

490041552 is an abundant number, since it is smaller than the sum of its proper divisors (1333841712).

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

490041552 is a wasteful number, since it uses less digits than its factorization.

490041552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 490041552 is about 22136.8821652915. The cubic root of 490041552 is about 788.3958003720.

The spelling of 490041552 in words is "four hundred ninety million, forty-one thousand, five hundred fifty-two".