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490990464 = 27331761137
BaseRepresentation
bin11101010000111…
…110101110000000
31021012212220022000
4131100332232000
52001143143324
6120415344000
715111231036
oct3520765600
91235786260
10490990464
11232173448
12118522000
137a94c303
14492cc556
152d1889c9
hex1d43eb80

490990464 has 256 divisors, whose sum is σ = 1570881600. Its totient is φ = 150405120.

The previous prime is 490990441. The next prime is 490990471. The reversal of 490990464 is 464099094.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3583804 + ... + 3583940.

Almost surely, 2490990464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785440800).

490990464 is an abundant number, since it is smaller than the sum of its proper divisors (1079891136).

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

490990464 is a wasteful number, since it uses less digits than its factorization.

490990464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 490990464 is about 22158.3046282878. The cubic root of 490990464 is about 788.9043530777.

The spelling of 490990464 in words is "four hundred ninety million, nine hundred ninety thousand, four hundred sixty-four".